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Finding the Fourth Proportional to 5,798.16, 8,007.66 and 4,691.16

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Solution

The fourth proportional to 5,798.16, 8,007.66 and 4,691.16 is: 6,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 8,007.66 = 4,691.16 : x
  2. Step 2: Convert to fraction form
    5,798.16/8,007.66 = 4,691.16/x
  3. Step 3: Cross multiply
    5,798.16x = 8,007.66 × 4,691.16
  4. Step 4: Simplify right side
    5,798.16x = 37,565,214.29
  5. Step 5: Solve for x
    x = 37,565,214.29/5,798.16
  6. Step 6: Final answer
    x = 6,478.82

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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.