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Finding the Fourth Proportional to 3,487.41, 5,230.06 and 1,265.95

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Solution

The fourth proportional to 3,487.41, 5,230.06 and 1,265.95 is: 1,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.41 : 5,230.06 = 1,265.95 : x
  2. Step 2: Convert to fraction form
    3,487.41/5,230.06 = 1,265.95/x
  3. Step 3: Cross multiply
    3,487.41x = 5,230.06 × 1,265.95
  4. Step 4: Simplify right side
    3,487.41x = 6,621,018.77
  5. Step 5: Solve for x
    x = 6,621,018.77/3,487.41
  6. Step 6: Final answer
    x = 1,898.55

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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.