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Finding the Fourth Proportional to 5,242.87, 7,235.63 and 3,005.47

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Solution

The fourth proportional to 5,242.87, 7,235.63 and 3,005.47 is: 4,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.87 : 7,235.63 = 3,005.47 : x
  2. Step 2: Convert to fraction form
    5,242.87/7,235.63 = 3,005.47/x
  3. Step 3: Cross multiply
    5,242.87x = 7,235.63 × 3,005.47
  4. Step 4: Simplify right side
    5,242.87x = 21,746,468.90
  5. Step 5: Solve for x
    x = 21,746,468.90/5,242.87
  6. Step 6: Final answer
    x = 4,147.82

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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.