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Finding the Fourth Proportional to 3,417.80, 4,715.42 and 2,223.75

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Solution

The fourth proportional to 3,417.80, 4,715.42 and 2,223.75 is: 3,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.80 : 4,715.42 = 2,223.75 : x
  2. Step 2: Convert to fraction form
    3,417.80/4,715.42 = 2,223.75/x
  3. Step 3: Cross multiply
    3,417.80x = 4,715.42 × 2,223.75
  4. Step 4: Simplify right side
    3,417.80x = 10,485,921.79
  5. Step 5: Solve for x
    x = 10,485,921.79/3,417.80
  6. Step 6: Final answer
    x = 3,068.04

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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.