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Finding the Fourth Proportional to 4,829.76, 7,209.72 and 4,132.08

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Solution

The fourth proportional to 4,829.76, 7,209.72 and 4,132.08 is: 6,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.76 : 7,209.72 = 4,132.08 : x
  2. Step 2: Convert to fraction form
    4,829.76/7,209.72 = 4,132.08/x
  3. Step 3: Cross multiply
    4,829.76x = 7,209.72 × 4,132.08
  4. Step 4: Simplify right side
    4,829.76x = 29,791,139.82
  5. Step 5: Solve for x
    x = 29,791,139.82/4,829.76
  6. Step 6: Final answer
    x = 6,168.24

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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.