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Finding the Fourth Proportional to 4,726.48, 7,089.48 and 1,439.50

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Solution

The fourth proportional to 4,726.48, 7,089.48 and 1,439.50 is: 2,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.48 : 7,089.48 = 1,439.50 : x
  2. Step 2: Convert to fraction form
    4,726.48/7,089.48 = 1,439.50/x
  3. Step 3: Cross multiply
    4,726.48x = 7,089.48 × 1,439.50
  4. Step 4: Simplify right side
    4,726.48x = 10,205,306.46
  5. Step 5: Solve for x
    x = 10,205,306.46/4,726.48
  6. Step 6: Final answer
    x = 2,159.18

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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.