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Finding the Fourth Proportional to 5,000.76, 7,501.58 and 1,442.90

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Solution

The fourth proportional to 5,000.76, 7,501.58 and 1,442.90 is: 2,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.76 : 7,501.58 = 1,442.90 : x
  2. Step 2: Convert to fraction form
    5,000.76/7,501.58 = 1,442.90/x
  3. Step 3: Cross multiply
    5,000.76x = 7,501.58 × 1,442.90
  4. Step 4: Simplify right side
    5,000.76x = 10,824,029.78
  5. Step 5: Solve for x
    x = 10,824,029.78/5,000.76
  6. Step 6: Final answer
    x = 2,164.48

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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.