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Finding the Fourth Proportional to 4,948.74, 7,426.02 and 4,909.14

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Solution

The fourth proportional to 4,948.74, 7,426.02 and 4,909.14 is: 7,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.74 : 7,426.02 = 4,909.14 : x
  2. Step 2: Convert to fraction form
    4,948.74/7,426.02 = 4,909.14/x
  3. Step 3: Cross multiply
    4,948.74x = 7,426.02 × 4,909.14
  4. Step 4: Simplify right side
    4,948.74x = 36,455,371.82
  5. Step 5: Solve for x
    x = 36,455,371.82/4,948.74
  6. Step 6: Final answer
    x = 7,366.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.