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Finding the Fourth Proportional to 4,700.56, 7,046.58 and 2,232.88

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Solution

The fourth proportional to 4,700.56, 7,046.58 and 2,232.88 is: 3,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.56 : 7,046.58 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    4,700.56/7,046.58 = 2,232.88/x
  3. Step 3: Cross multiply
    4,700.56x = 7,046.58 × 2,232.88
  4. Step 4: Simplify right side
    4,700.56x = 15,734,167.55
  5. Step 5: Solve for x
    x = 15,734,167.55/4,700.56
  6. Step 6: Final answer
    x = 3,347.30

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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.