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Finding the Fourth Proportional to 3,792.87, 5,683.05 and 2,328.93

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Solution

The fourth proportional to 3,792.87, 5,683.05 and 2,328.93 is: 3,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.87 : 5,683.05 = 2,328.93 : x
  2. Step 2: Convert to fraction form
    3,792.87/5,683.05 = 2,328.93/x
  3. Step 3: Cross multiply
    3,792.87x = 5,683.05 × 2,328.93
  4. Step 4: Simplify right side
    3,792.87x = 13,235,425.64
  5. Step 5: Solve for x
    x = 13,235,425.64/3,792.87
  6. Step 6: Final answer
    x = 3,489.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.