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Finding the Fourth Proportional to 5,326.68, 7,987.97 and 1,577.42

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Solution

The fourth proportional to 5,326.68, 7,987.97 and 1,577.42 is: 2,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.68 : 7,987.97 = 1,577.42 : x
  2. Step 2: Convert to fraction form
    5,326.68/7,987.97 = 1,577.42/x
  3. Step 3: Cross multiply
    5,326.68x = 7,987.97 × 1,577.42
  4. Step 4: Simplify right side
    5,326.68x = 12,600,335.81
  5. Step 5: Solve for x
    x = 12,600,335.81/5,326.68
  6. Step 6: Final answer
    x = 2,365.51

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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.