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Finding the Fourth Proportional to 4,726.80, 7,073.40 and 4,117.20

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Solution

The fourth proportional to 4,726.80, 7,073.40 and 4,117.20 is: 6,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.80 : 7,073.40 = 4,117.20 : x
  2. Step 2: Convert to fraction form
    4,726.80/7,073.40 = 4,117.20/x
  3. Step 3: Cross multiply
    4,726.80x = 7,073.40 × 4,117.20
  4. Step 4: Simplify right side
    4,726.80x = 29,122,602.48
  5. Step 5: Solve for x
    x = 29,122,602.48/4,726.80
  6. Step 6: Final answer
    x = 6,161.17

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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.