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Finding the Fourth Proportional to 5,454.12, 7,526.46 and 2,970.12

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Solution

The fourth proportional to 5,454.12, 7,526.46 and 2,970.12 is: 4,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.12 : 7,526.46 = 2,970.12 : x
  2. Step 2: Convert to fraction form
    5,454.12/7,526.46 = 2,970.12/x
  3. Step 3: Cross multiply
    5,454.12x = 7,526.46 × 2,970.12
  4. Step 4: Simplify right side
    5,454.12x = 22,354,489.38
  5. Step 5: Solve for x
    x = 22,354,489.38/5,454.12
  6. Step 6: Final answer
    x = 4,098.64

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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.