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Finding the Fourth Proportional to 3,639.79, 5,459.88 and 1,042.66

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Solution

The fourth proportional to 3,639.79, 5,459.88 and 1,042.66 is: 1,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.79 : 5,459.88 = 1,042.66 : x
  2. Step 2: Convert to fraction form
    3,639.79/5,459.88 = 1,042.66/x
  3. Step 3: Cross multiply
    3,639.79x = 5,459.88 × 1,042.66
  4. Step 4: Simplify right side
    3,639.79x = 5,692,798.48
  5. Step 5: Solve for x
    x = 5,692,798.48/3,639.79
  6. Step 6: Final answer
    x = 1,564.05

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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.