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Finding the Fourth Proportional to 4,562.29, 6,840.36 and 3,685.87

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Solution

The fourth proportional to 4,562.29, 6,840.36 and 3,685.87 is: 5,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.29 : 6,840.36 = 3,685.87 : x
  2. Step 2: Convert to fraction form
    4,562.29/6,840.36 = 3,685.87/x
  3. Step 3: Cross multiply
    4,562.29x = 6,840.36 × 3,685.87
  4. Step 4: Simplify right side
    4,562.29x = 25,212,677.71
  5. Step 5: Solve for x
    x = 25,212,677.71/4,562.29
  6. Step 6: Final answer
    x = 5,526.32

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