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Finding the Fourth Proportional to 3,348.98, 5,024.84 and 1,159.25

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Solution

The fourth proportional to 3,348.98, 5,024.84 and 1,159.25 is: 1,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.98 : 5,024.84 = 1,159.25 : x
  2. Step 2: Convert to fraction form
    3,348.98/5,024.84 = 1,159.25/x
  3. Step 3: Cross multiply
    3,348.98x = 5,024.84 × 1,159.25
  4. Step 4: Simplify right side
    3,348.98x = 5,825,061.23
  5. Step 5: Solve for x
    x = 5,825,061.23/3,348.98
  6. Step 6: Final answer
    x = 1,739.35

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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.