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Finding the Fourth Proportional to 5,806.65, 8,710.13 and 1,424.10

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Solution

The fourth proportional to 5,806.65, 8,710.13 and 1,424.10 is: 2,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.65 : 8,710.13 = 1,424.10 : x
  2. Step 2: Convert to fraction form
    5,806.65/8,710.13 = 1,424.10/x
  3. Step 3: Cross multiply
    5,806.65x = 8,710.13 × 1,424.10
  4. Step 4: Simplify right side
    5,806.65x = 12,404,096.13
  5. Step 5: Solve for x
    x = 12,404,096.13/5,806.65
  6. Step 6: Final answer
    x = 2,136.19

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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.