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Finding the Fourth Proportional to 5,744,354.96, 7,927,258.08 and 3,166,042.32

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Solution

The fourth proportional to 5,744,354.96, 7,927,258.08 and 3,166,042.32 is: 4,369,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,354.96 : 7,927,258.08 = 3,166,042.32 : x
  2. Step 2: Convert to fraction form
    5,744,354.96/7,927,258.08 = 3,166,042.32/x
  3. Step 3: Cross multiply
    5,744,354.96x = 7,927,258.08 × 3,166,042.32
  4. Step 4: Simplify right side
    5,744,354.96x = 25,098,034,562,841.95
  5. Step 5: Solve for x
    x = 25,098,034,562,841.95/5,744,354.96
  6. Step 6: Final answer
    x = 4,369,164.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.