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Finding the Fourth Proportional to 6,158.80, 8,497.32 and 3,506.20

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Solution

The fourth proportional to 6,158.80, 8,497.32 and 3,506.20 is: 4,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.80 : 8,497.32 = 3,506.20 : x
  2. Step 2: Convert to fraction form
    6,158.80/8,497.32 = 3,506.20/x
  3. Step 3: Cross multiply
    6,158.80x = 8,497.32 × 3,506.20
  4. Step 4: Simplify right side
    6,158.80x = 29,793,303.38
  5. Step 5: Solve for x
    x = 29,793,303.38/6,158.80
  6. Step 6: Final answer
    x = 4,837.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.