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Finding the Fourth Proportional to 6,037.60, 9,062 and 2,577.28

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Solution

The fourth proportional to 6,037.60, 9,062 and 2,577.28 is: 3,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.60 : 9,062 = 2,577.28 : x
  2. Step 2: Convert to fraction form
    6,037.60/9,062 = 2,577.28/x
  3. Step 3: Cross multiply
    6,037.60x = 9,062 × 2,577.28
  4. Step 4: Simplify right side
    6,037.60x = 23,355,311.36
  5. Step 5: Solve for x
    x = 23,355,311.36/6,037.60
  6. Step 6: Final answer
    x = 3,868.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.