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Finding the Fourth Proportional to 3,421.61, 5,123.14 and 1,774.70

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Solution

The fourth proportional to 3,421.61, 5,123.14 and 1,774.70 is: 2,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.61 : 5,123.14 = 1,774.70 : x
  2. Step 2: Convert to fraction form
    3,421.61/5,123.14 = 1,774.70/x
  3. Step 3: Cross multiply
    3,421.61x = 5,123.14 × 1,774.70
  4. Step 4: Simplify right side
    3,421.61x = 9,092,044.93
  5. Step 5: Solve for x
    x = 9,092,044.93/3,421.61
  6. Step 6: Final answer
    x = 2,657.25

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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.