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Finding the Fourth Proportional to 5,681.65, 8,514.69 and 2,902.48

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Solution

The fourth proportional to 5,681.65, 8,514.69 and 2,902.48 is: 4,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.65 : 8,514.69 = 2,902.48 : x
  2. Step 2: Convert to fraction form
    5,681.65/8,514.69 = 2,902.48/x
  3. Step 3: Cross multiply
    5,681.65x = 8,514.69 × 2,902.48
  4. Step 4: Simplify right side
    5,681.65x = 24,713,717.43
  5. Step 5: Solve for x
    x = 24,713,717.43/5,681.65
  6. Step 6: Final answer
    x = 4,349.74

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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.