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Finding the Fourth Proportional to 5,731.98, 8,597.02 and 3,510.05

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Solution

The fourth proportional to 5,731.98, 8,597.02 and 3,510.05 is: 5,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.98 : 8,597.02 = 3,510.05 : x
  2. Step 2: Convert to fraction form
    5,731.98/8,597.02 = 3,510.05/x
  3. Step 3: Cross multiply
    5,731.98x = 8,597.02 × 3,510.05
  4. Step 4: Simplify right side
    5,731.98x = 30,175,970.05
  5. Step 5: Solve for x
    x = 30,175,970.05/5,731.98
  6. Step 6: Final answer
    x = 5,264.49

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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.