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Finding the Fourth Proportional to 2,952, 4,406.72 and 2,542.72

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Solution

The fourth proportional to 2,952, 4,406.72 and 2,542.72 is: 3,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952 : 4,406.72 = 2,542.72 : x
  2. Step 2: Convert to fraction form
    2,952/4,406.72 = 2,542.72/x
  3. Step 3: Cross multiply
    2,952x = 4,406.72 × 2,542.72
  4. Step 4: Simplify right side
    2,952x = 11,205,055.08
  5. Step 5: Solve for x
    x = 11,205,055.08/2,952
  6. Step 6: Final answer
    x = 3,795.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.