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Finding the Fourth Proportional to 3,913.72, 5,870.94 and 1,281.24

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Solution

The fourth proportional to 3,913.72, 5,870.94 and 1,281.24 is: 1,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.72 : 5,870.94 = 1,281.24 : x
  2. Step 2: Convert to fraction form
    3,913.72/5,870.94 = 1,281.24/x
  3. Step 3: Cross multiply
    3,913.72x = 5,870.94 × 1,281.24
  4. Step 4: Simplify right side
    3,913.72x = 7,522,083.17
  5. Step 5: Solve for x
    x = 7,522,083.17/3,913.72
  6. Step 6: Final answer
    x = 1,921.98

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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.