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Finding the Fourth Proportional to 5,269.95, 7,897.32 and 4,015.15

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Solution

The fourth proportional to 5,269.95, 7,897.32 and 4,015.15 is: 6,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.95 : 7,897.32 = 4,015.15 : x
  2. Step 2: Convert to fraction form
    5,269.95/7,897.32 = 4,015.15/x
  3. Step 3: Cross multiply
    5,269.95x = 7,897.32 × 4,015.15
  4. Step 4: Simplify right side
    5,269.95x = 31,708,924.40
  5. Step 5: Solve for x
    x = 31,708,924.40/5,269.95
  6. Step 6: Final answer
    x = 6,016.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.