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Finding the Fourth Proportional to 4,693.46, 6,474.38 and 3,015.12

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Solution

The fourth proportional to 4,693.46, 6,474.38 and 3,015.12 is: 4,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.46 : 6,474.38 = 3,015.12 : x
  2. Step 2: Convert to fraction form
    4,693.46/6,474.38 = 3,015.12/x
  3. Step 3: Cross multiply
    4,693.46x = 6,474.38 × 3,015.12
  4. Step 4: Simplify right side
    4,693.46x = 19,521,000.25
  5. Step 5: Solve for x
    x = 19,521,000.25/4,693.46
  6. Step 6: Final answer
    x = 4,159.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.