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Finding the Fourth Proportional to 4,281, 6,424.20 and 1,683.87

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Solution

The fourth proportional to 4,281, 6,424.20 and 1,683.87 is: 2,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281 : 6,424.20 = 1,683.87 : x
  2. Step 2: Convert to fraction form
    4,281/6,424.20 = 1,683.87/x
  3. Step 3: Cross multiply
    4,281x = 6,424.20 × 1,683.87
  4. Step 4: Simplify right side
    4,281x = 10,817,517.65
  5. Step 5: Solve for x
    x = 10,817,517.65/4,281
  6. Step 6: Final answer
    x = 2,526.87

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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.