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Finding the Fourth Proportional to 4,702.98, 7,040.62 and 3,475.86

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Solution

The fourth proportional to 4,702.98, 7,040.62 and 3,475.86 is: 5,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.98 : 7,040.62 = 3,475.86 : x
  2. Step 2: Convert to fraction form
    4,702.98/7,040.62 = 3,475.86/x
  3. Step 3: Cross multiply
    4,702.98x = 7,040.62 × 3,475.86
  4. Step 4: Simplify right side
    4,702.98x = 24,472,209.43
  5. Step 5: Solve for x
    x = 24,472,209.43/4,702.98
  6. Step 6: Final answer
    x = 5,203.55

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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.