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Finding the Fourth Proportional to 5,599.47, 8,400.42 and 3,131.40

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Solution

The fourth proportional to 5,599.47, 8,400.42 and 3,131.40 is: 4,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.47 : 8,400.42 = 3,131.40 : x
  2. Step 2: Convert to fraction form
    5,599.47/8,400.42 = 3,131.40/x
  3. Step 3: Cross multiply
    5,599.47x = 8,400.42 × 3,131.40
  4. Step 4: Simplify right side
    5,599.47x = 26,305,075.19
  5. Step 5: Solve for x
    x = 26,305,075.19/5,599.47
  6. Step 6: Final answer
    x = 4,697.78

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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.