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Finding the Fourth Proportional to 5,100.42, 7,650.78 and 1,590.55

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Solution

The fourth proportional to 5,100.42, 7,650.78 and 1,590.55 is: 2,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.42 : 7,650.78 = 1,590.55 : x
  2. Step 2: Convert to fraction form
    5,100.42/7,650.78 = 1,590.55/x
  3. Step 3: Cross multiply
    5,100.42x = 7,650.78 × 1,590.55
  4. Step 4: Simplify right side
    5,100.42x = 12,168,948.13
  5. Step 5: Solve for x
    x = 12,168,948.13/5,100.42
  6. Step 6: Final answer
    x = 2,385.87

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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.