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Finding the Fourth Proportional to 5,065.64, 6,963.77 and 4,354.86

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Solution

The fourth proportional to 5,065.64, 6,963.77 and 4,354.86 is: 5,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.64 : 6,963.77 = 4,354.86 : x
  2. Step 2: Convert to fraction form
    5,065.64/6,963.77 = 4,354.86/x
  3. Step 3: Cross multiply
    5,065.64x = 6,963.77 × 4,354.86
  4. Step 4: Simplify right side
    5,065.64x = 30,326,280.42
  5. Step 5: Solve for x
    x = 30,326,280.42/5,065.64
  6. Step 6: Final answer
    x = 5,986.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.