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Finding the Fourth Proportional to 4,865.12, 6,710.62 and 4,496

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Solution

The fourth proportional to 4,865.12, 6,710.62 and 4,496 is: 6,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.12 : 6,710.62 = 4,496 : x
  2. Step 2: Convert to fraction form
    4,865.12/6,710.62 = 4,496/x
  3. Step 3: Cross multiply
    4,865.12x = 6,710.62 × 4,496
  4. Step 4: Simplify right side
    4,865.12x = 30,170,947.52
  5. Step 5: Solve for x
    x = 30,170,947.52/4,865.12
  6. Step 6: Final answer
    x = 6,201.48

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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.