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Finding the Fourth Proportional to 5,124.42, 7,686.78 and 2,004.30

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Solution

The fourth proportional to 5,124.42, 7,686.78 and 2,004.30 is: 3,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.42 : 7,686.78 = 2,004.30 : x
  2. Step 2: Convert to fraction form
    5,124.42/7,686.78 = 2,004.30/x
  3. Step 3: Cross multiply
    5,124.42x = 7,686.78 × 2,004.30
  4. Step 4: Simplify right side
    5,124.42x = 15,406,613.15
  5. Step 5: Solve for x
    x = 15,406,613.15/5,124.42
  6. Step 6: Final answer
    x = 3,006.51

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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.