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Finding the Fourth Proportional to 5,177.18, 7,767 and 1,714.44

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Solution

The fourth proportional to 5,177.18, 7,767 and 1,714.44 is: 2,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.18 : 7,767 = 1,714.44 : x
  2. Step 2: Convert to fraction form
    5,177.18/7,767 = 1,714.44/x
  3. Step 3: Cross multiply
    5,177.18x = 7,767 × 1,714.44
  4. Step 4: Simplify right side
    5,177.18x = 13,316,055.48
  5. Step 5: Solve for x
    x = 13,316,055.48/5,177.18
  6. Step 6: Final answer
    x = 2,572.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.