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Finding the Fourth Proportional to 5,641.74, 8,459.73 and 2,353.95

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Solution

The fourth proportional to 5,641.74, 8,459.73 and 2,353.95 is: 3,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.74 : 8,459.73 = 2,353.95 : x
  2. Step 2: Convert to fraction form
    5,641.74/8,459.73 = 2,353.95/x
  3. Step 3: Cross multiply
    5,641.74x = 8,459.73 × 2,353.95
  4. Step 4: Simplify right side
    5,641.74x = 19,913,781.43
  5. Step 5: Solve for x
    x = 19,913,781.43/5,641.74
  6. Step 6: Final answer
    x = 3,529.72

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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.