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Finding the Fourth Proportional to 3,564.53, 4,920.44 and 2,385.17

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Solution

The fourth proportional to 3,564.53, 4,920.44 and 2,385.17 is: 3,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.53 : 4,920.44 = 2,385.17 : x
  2. Step 2: Convert to fraction form
    3,564.53/4,920.44 = 2,385.17/x
  3. Step 3: Cross multiply
    3,564.53x = 4,920.44 × 2,385.17
  4. Step 4: Simplify right side
    3,564.53x = 11,736,085.87
  5. Step 5: Solve for x
    x = 11,736,085.87/3,564.53
  6. Step 6: Final answer
    x = 3,292.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.