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Finding the Fourth Proportional to 3,664.61, 5,497.15 and 1,292.40

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Solution

The fourth proportional to 3,664.61, 5,497.15 and 1,292.40 is: 1,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.61 : 5,497.15 = 1,292.40 : x
  2. Step 2: Convert to fraction form
    3,664.61/5,497.15 = 1,292.40/x
  3. Step 3: Cross multiply
    3,664.61x = 5,497.15 × 1,292.40
  4. Step 4: Simplify right side
    3,664.61x = 7,104,501.75
  5. Step 5: Solve for x
    x = 7,104,501.75/3,664.61
  6. Step 6: Final answer
    x = 1,938.68

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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.