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Finding the Fourth Proportional to 5,335.27, 7,986.50 and 4,547.95

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Solution

The fourth proportional to 5,335.27, 7,986.50 and 4,547.95 is: 6,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.27 : 7,986.50 = 4,547.95 : x
  2. Step 2: Convert to fraction form
    5,335.27/7,986.50 = 4,547.95/x
  3. Step 3: Cross multiply
    5,335.27x = 7,986.50 × 4,547.95
  4. Step 4: Simplify right side
    5,335.27x = 36,322,177.02
  5. Step 5: Solve for x
    x = 36,322,177.02/5,335.27
  6. Step 6: Final answer
    x = 6,807.94

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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.