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Finding the Fourth Proportional to 5,547.71, 7,655.82 and 3,029.83

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Solution

The fourth proportional to 5,547.71, 7,655.82 and 3,029.83 is: 4,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.71 : 7,655.82 = 3,029.83 : x
  2. Step 2: Convert to fraction form
    5,547.71/7,655.82 = 3,029.83/x
  3. Step 3: Cross multiply
    5,547.71x = 7,655.82 × 3,029.83
  4. Step 4: Simplify right side
    5,547.71x = 23,195,833.11
  5. Step 5: Solve for x
    x = 23,195,833.11/5,547.71
  6. Step 6: Final answer
    x = 4,181.15

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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.