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Finding the Fourth Proportional to 3,417.58, 4,715.43 and 2,281.02

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Solution

The fourth proportional to 3,417.58, 4,715.43 and 2,281.02 is: 3,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.58 : 4,715.43 = 2,281.02 : x
  2. Step 2: Convert to fraction form
    3,417.58/4,715.43 = 2,281.02/x
  3. Step 3: Cross multiply
    3,417.58x = 4,715.43 × 2,281.02
  4. Step 4: Simplify right side
    3,417.58x = 10,755,990.14
  5. Step 5: Solve for x
    x = 10,755,990.14/3,417.58
  6. Step 6: Final answer
    x = 3,147.25

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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.