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Finding the Fourth Proportional to 5,237.75, 7,854.95 and 1,727.10

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Solution

The fourth proportional to 5,237.75, 7,854.95 and 1,727.10 is: 2,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.75 : 7,854.95 = 1,727.10 : x
  2. Step 2: Convert to fraction form
    5,237.75/7,854.95 = 1,727.10/x
  3. Step 3: Cross multiply
    5,237.75x = 7,854.95 × 1,727.10
  4. Step 4: Simplify right side
    5,237.75x = 13,566,284.15
  5. Step 5: Solve for x
    x = 13,566,284.15/5,237.75
  6. Step 6: Final answer
    x = 2,590.10

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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.