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Finding the Fourth Proportional to 5,487.84, 8,233.59 and 3,646.20

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Solution

The fourth proportional to 5,487.84, 8,233.59 and 3,646.20 is: 5,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.84 : 8,233.59 = 3,646.20 : x
  2. Step 2: Convert to fraction form
    5,487.84/8,233.59 = 3,646.20/x
  3. Step 3: Cross multiply
    5,487.84x = 8,233.59 × 3,646.20
  4. Step 4: Simplify right side
    5,487.84x = 30,021,315.86
  5. Step 5: Solve for x
    x = 30,021,315.86/5,487.84
  6. Step 6: Final answer
    x = 5,470.52

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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.