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Finding the Fourth Proportional to 4,966.22, 7,448.52 and 1,502.66

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Solution

The fourth proportional to 4,966.22, 7,448.52 and 1,502.66 is: 2,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.22 : 7,448.52 = 1,502.66 : x
  2. Step 2: Convert to fraction form
    4,966.22/7,448.52 = 1,502.66/x
  3. Step 3: Cross multiply
    4,966.22x = 7,448.52 × 1,502.66
  4. Step 4: Simplify right side
    4,966.22x = 11,192,548.31
  5. Step 5: Solve for x
    x = 11,192,548.31/4,966.22
  6. Step 6: Final answer
    x = 2,253.74

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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.