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Finding the Fourth Proportional to 3,648.53, 5,478.98 and 2,384.17

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Solution

The fourth proportional to 3,648.53, 5,478.98 and 2,384.17 is: 3,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.53 : 5,478.98 = 2,384.17 : x
  2. Step 2: Convert to fraction form
    3,648.53/5,478.98 = 2,384.17/x
  3. Step 3: Cross multiply
    3,648.53x = 5,478.98 × 2,384.17
  4. Step 4: Simplify right side
    3,648.53x = 13,062,814.24
  5. Step 5: Solve for x
    x = 13,062,814.24/3,648.53
  6. Step 6: Final answer
    x = 3,580.30

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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.