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Finding the Fourth Proportional to 5,712.40, 7,873.68 and 3,823.32

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Solution

The fourth proportional to 5,712.40, 7,873.68 and 3,823.32 is: 5,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.40 : 7,873.68 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    5,712.40/7,873.68 = 3,823.32/x
  3. Step 3: Cross multiply
    5,712.40x = 7,873.68 × 3,823.32
  4. Step 4: Simplify right side
    5,712.40x = 30,103,598.22
  5. Step 5: Solve for x
    x = 30,103,598.22/5,712.40
  6. Step 6: Final answer
    x = 5,269.87

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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.