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Finding the Fourth Proportional to 4,934.40, 7,405.65 and 4,772.40

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Solution

The fourth proportional to 4,934.40, 7,405.65 and 4,772.40 is: 7,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.40 : 7,405.65 = 4,772.40 : x
  2. Step 2: Convert to fraction form
    4,934.40/7,405.65 = 4,772.40/x
  3. Step 3: Cross multiply
    4,934.40x = 7,405.65 × 4,772.40
  4. Step 4: Simplify right side
    4,934.40x = 35,342,724.06
  5. Step 5: Solve for x
    x = 35,342,724.06/4,934.40
  6. Step 6: Final answer
    x = 7,162.52

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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.