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Finding the Fourth Proportional to 5,077.81, 7,613.93 and 1,566.86

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Solution

The fourth proportional to 5,077.81, 7,613.93 and 1,566.86 is: 2,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.81 : 7,613.93 = 1,566.86 : x
  2. Step 2: Convert to fraction form
    5,077.81/7,613.93 = 1,566.86/x
  3. Step 3: Cross multiply
    5,077.81x = 7,613.93 × 1,566.86
  4. Step 4: Simplify right side
    5,077.81x = 11,929,962.36
  5. Step 5: Solve for x
    x = 11,929,962.36/5,077.81
  6. Step 6: Final answer
    x = 2,349.43

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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.