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Finding the Fourth Proportional to 4,562.56, 6,306.96 and 4,070.08

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Solution

The fourth proportional to 4,562.56, 6,306.96 and 4,070.08 is: 5,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.56 : 6,306.96 = 4,070.08 : x
  2. Step 2: Convert to fraction form
    4,562.56/6,306.96 = 4,070.08/x
  3. Step 3: Cross multiply
    4,562.56x = 6,306.96 × 4,070.08
  4. Step 4: Simplify right side
    4,562.56x = 25,669,831.76
  5. Step 5: Solve for x
    x = 25,669,831.76/4,562.56
  6. Step 6: Final answer
    x = 5,626.19

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