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Finding the Fourth Proportional to 5,663.22, 8,494.80 and 1,714.47

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Solution

The fourth proportional to 5,663.22, 8,494.80 and 1,714.47 is: 2,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.22 : 8,494.80 = 1,714.47 : x
  2. Step 2: Convert to fraction form
    5,663.22/8,494.80 = 1,714.47/x
  3. Step 3: Cross multiply
    5,663.22x = 8,494.80 × 1,714.47
  4. Step 4: Simplify right side
    5,663.22x = 14,564,079.76
  5. Step 5: Solve for x
    x = 14,564,079.76/5,663.22
  6. Step 6: Final answer
    x = 2,571.70

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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.