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Finding the Fourth Proportional to 4,740.56, 6,542.88 and 2,948.66

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Solution

The fourth proportional to 4,740.56, 6,542.88 and 2,948.66 is: 4,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.56 : 6,542.88 = 2,948.66 : x
  2. Step 2: Convert to fraction form
    4,740.56/6,542.88 = 2,948.66/x
  3. Step 3: Cross multiply
    4,740.56x = 6,542.88 × 2,948.66
  4. Step 4: Simplify right side
    4,740.56x = 19,292,728.54
  5. Step 5: Solve for x
    x = 19,292,728.54/4,740.56
  6. Step 6: Final answer
    x = 4,069.72

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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.