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Finding the Fourth Proportional to 5,315.66, 7,963.50 and 3,117.86

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Solution

The fourth proportional to 5,315.66, 7,963.50 and 3,117.86 is: 4,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.66 : 7,963.50 = 3,117.86 : x
  2. Step 2: Convert to fraction form
    5,315.66/7,963.50 = 3,117.86/x
  3. Step 3: Cross multiply
    5,315.66x = 7,963.50 × 3,117.86
  4. Step 4: Simplify right side
    5,315.66x = 24,829,078.11
  5. Step 5: Solve for x
    x = 24,829,078.11/5,315.66
  6. Step 6: Final answer
    x = 4,670.93

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Why These Related Problems?

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