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Finding the Fourth Proportional to 5,435.87, 7,500.47 and 5,159.05

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Solution

The fourth proportional to 5,435.87, 7,500.47 and 5,159.05 is: 7,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.87 : 7,500.47 = 5,159.05 : x
  2. Step 2: Convert to fraction form
    5,435.87/7,500.47 = 5,159.05/x
  3. Step 3: Cross multiply
    5,435.87x = 7,500.47 × 5,159.05
  4. Step 4: Simplify right side
    5,435.87x = 38,695,255.21
  5. Step 5: Solve for x
    x = 38,695,255.21/5,435.87
  6. Step 6: Final answer
    x = 7,118.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.