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Finding the Fourth Proportional to 5,656.87, 8,465.24 and 4,172.58

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Solution

The fourth proportional to 5,656.87, 8,465.24 and 4,172.58 is: 6,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.87 : 8,465.24 = 4,172.58 : x
  2. Step 2: Convert to fraction form
    5,656.87/8,465.24 = 4,172.58/x
  3. Step 3: Cross multiply
    5,656.87x = 8,465.24 × 4,172.58
  4. Step 4: Simplify right side
    5,656.87x = 35,321,901.55
  5. Step 5: Solve for x
    x = 35,321,901.55/5,656.87
  6. Step 6: Final answer
    x = 6,244.07

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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.