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Finding the Fourth Proportional to 6,583.08, 9,877.08 and 3,812.52

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Solution

The fourth proportional to 6,583.08, 9,877.08 and 3,812.52 is: 5,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.08 : 9,877.08 = 3,812.52 : x
  2. Step 2: Convert to fraction form
    6,583.08/9,877.08 = 3,812.52/x
  3. Step 3: Cross multiply
    6,583.08x = 9,877.08 × 3,812.52
  4. Step 4: Simplify right side
    6,583.08x = 37,656,565.04
  5. Step 5: Solve for x
    x = 37,656,565.04/6,583.08
  6. Step 6: Final answer
    x = 5,720.20

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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.