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Finding the Fourth Proportional to 3,854.76, 5,319.54 and 3,016.32

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Solution

The fourth proportional to 3,854.76, 5,319.54 and 3,016.32 is: 4,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.76 : 5,319.54 = 3,016.32 : x
  2. Step 2: Convert to fraction form
    3,854.76/5,319.54 = 3,016.32/x
  3. Step 3: Cross multiply
    3,854.76x = 5,319.54 × 3,016.32
  4. Step 4: Simplify right side
    3,854.76x = 16,045,434.89
  5. Step 5: Solve for x
    x = 16,045,434.89/3,854.76
  6. Step 6: Final answer
    x = 4,162.50

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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.