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Finding the Fourth Proportional to 4,702.38, 7,019.24 and 4,359.75

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Solution

The fourth proportional to 4,702.38, 7,019.24 and 4,359.75 is: 6,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.38 : 7,019.24 = 4,359.75 : x
  2. Step 2: Convert to fraction form
    4,702.38/7,019.24 = 4,359.75/x
  3. Step 3: Cross multiply
    4,702.38x = 7,019.24 × 4,359.75
  4. Step 4: Simplify right side
    4,702.38x = 30,602,109.79
  5. Step 5: Solve for x
    x = 30,602,109.79/4,702.38
  6. Step 6: Final answer
    x = 6,507.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.