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Finding the Fourth Proportional to 4,726.33, 7,089.83 and 1,439.40

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Solution

The fourth proportional to 4,726.33, 7,089.83 and 1,439.40 is: 2,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.33 : 7,089.83 = 1,439.40 : x
  2. Step 2: Convert to fraction form
    4,726.33/7,089.83 = 1,439.40/x
  3. Step 3: Cross multiply
    4,726.33x = 7,089.83 × 1,439.40
  4. Step 4: Simplify right side
    4,726.33x = 10,205,101.30
  5. Step 5: Solve for x
    x = 10,205,101.30/4,726.33
  6. Step 6: Final answer
    x = 2,159.20

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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.