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Finding the Fourth Proportional to 5,788.32, 7,987.90 and 3,135.72

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Solution

The fourth proportional to 5,788.32, 7,987.90 and 3,135.72 is: 4,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.32 : 7,987.90 = 3,135.72 : x
  2. Step 2: Convert to fraction form
    5,788.32/7,987.90 = 3,135.72/x
  3. Step 3: Cross multiply
    5,788.32x = 7,987.90 × 3,135.72
  4. Step 4: Simplify right side
    5,788.32x = 25,047,817.79
  5. Step 5: Solve for x
    x = 25,047,817.79/5,788.32
  6. Step 6: Final answer
    x = 4,327.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.