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Finding the Fourth Proportional to 3,811.52, 5,258.99 and 2,319.42

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Solution

The fourth proportional to 3,811.52, 5,258.99 and 2,319.42 is: 3,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.52 : 5,258.99 = 2,319.42 : x
  2. Step 2: Convert to fraction form
    3,811.52/5,258.99 = 2,319.42/x
  3. Step 3: Cross multiply
    3,811.52x = 5,258.99 × 2,319.42
  4. Step 4: Simplify right side
    3,811.52x = 12,197,802.52
  5. Step 5: Solve for x
    x = 12,197,802.52/3,811.52
  6. Step 6: Final answer
    x = 3,200.24

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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.