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Finding the Fourth Proportional to 3,875.65, 5,350.25 and 2,384.84

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Solution

The fourth proportional to 3,875.65, 5,350.25 and 2,384.84 is: 3,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.65 : 5,350.25 = 2,384.84 : x
  2. Step 2: Convert to fraction form
    3,875.65/5,350.25 = 2,384.84/x
  3. Step 3: Cross multiply
    3,875.65x = 5,350.25 × 2,384.84
  4. Step 4: Simplify right side
    3,875.65x = 12,759,509.55
  5. Step 5: Solve for x
    x = 12,759,509.55/3,875.65
  6. Step 6: Final answer
    x = 3,292.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.