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Finding the Fourth Proportional to 6,100.47, 8,417.66 and 3,582.38

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Solution

The fourth proportional to 6,100.47, 8,417.66 and 3,582.38 is: 4,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.47 : 8,417.66 = 3,582.38 : x
  2. Step 2: Convert to fraction form
    6,100.47/8,417.66 = 3,582.38/x
  3. Step 3: Cross multiply
    6,100.47x = 8,417.66 × 3,582.38
  4. Step 4: Simplify right side
    6,100.47x = 30,155,259.96
  5. Step 5: Solve for x
    x = 30,155,259.96/6,100.47
  6. Step 6: Final answer
    x = 4,943.10

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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.