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Finding the Fourth Proportional to 5,788.35, 7,987.93 and 3,135.76

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Solution

The fourth proportional to 5,788.35, 7,987.93 and 3,135.76 is: 4,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.35 : 7,987.93 = 3,135.76 : x
  2. Step 2: Convert to fraction form
    5,788.35/7,987.93 = 3,135.76/x
  3. Step 3: Cross multiply
    5,788.35x = 7,987.93 × 3,135.76
  4. Step 4: Simplify right side
    5,788.35x = 25,048,203.57
  5. Step 5: Solve for x
    x = 25,048,203.57/5,788.35
  6. Step 6: Final answer
    x = 4,327.35

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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.