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Finding the Fourth Proportional to 5,037.60, 6,952 and 3,047.76

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Solution

The fourth proportional to 5,037.60, 6,952 and 3,047.76 is: 4,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.60 : 6,952 = 3,047.76 : x
  2. Step 2: Convert to fraction form
    5,037.60/6,952 = 3,047.76/x
  3. Step 3: Cross multiply
    5,037.60x = 6,952 × 3,047.76
  4. Step 4: Simplify right side
    5,037.60x = 21,188,027.52
  5. Step 5: Solve for x
    x = 21,188,027.52/5,037.60
  6. Step 6: Final answer
    x = 4,205.98

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Why These Related Problems?

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