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Finding the Fourth Proportional to 5,613.66, 7,746.66 and 3,095.82

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Solution

The fourth proportional to 5,613.66, 7,746.66 and 3,095.82 is: 4,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.66 : 7,746.66 = 3,095.82 : x
  2. Step 2: Convert to fraction form
    5,613.66/7,746.66 = 3,095.82/x
  3. Step 3: Cross multiply
    5,613.66x = 7,746.66 × 3,095.82
  4. Step 4: Simplify right side
    5,613.66x = 23,982,264.96
  5. Step 5: Solve for x
    x = 23,982,264.96/5,613.66
  6. Step 6: Final answer
    x = 4,272.13

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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.