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Finding the Fourth Proportional to 5,730.13, 8,578.16 and 5,128.76

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Solution

The fourth proportional to 5,730.13, 8,578.16 and 5,128.76 is: 7,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.13 : 8,578.16 = 5,128.76 : x
  2. Step 2: Convert to fraction form
    5,730.13/8,578.16 = 5,128.76/x
  3. Step 3: Cross multiply
    5,730.13x = 8,578.16 × 5,128.76
  4. Step 4: Simplify right side
    5,730.13x = 43,995,323.88
  5. Step 5: Solve for x
    x = 43,995,323.88/5,730.13
  6. Step 6: Final answer
    x = 7,677.89

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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.