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Finding the Fourth Proportional to 5,842.53, 8,765.11 and 3,070.51

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Solution

The fourth proportional to 5,842.53, 8,765.11 and 3,070.51 is: 4,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.53 : 8,765.11 = 3,070.51 : x
  2. Step 2: Convert to fraction form
    5,842.53/8,765.11 = 3,070.51/x
  3. Step 3: Cross multiply
    5,842.53x = 8,765.11 × 3,070.51
  4. Step 4: Simplify right side
    5,842.53x = 26,913,357.91
  5. Step 5: Solve for x
    x = 26,913,357.91/5,842.53
  6. Step 6: Final answer
    x = 4,606.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.