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Finding the Fourth Proportional to 4,728.46, 6,517.11 and 3,547.48

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Solution

The fourth proportional to 4,728.46, 6,517.11 and 3,547.48 is: 4,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.46 : 6,517.11 = 3,547.48 : x
  2. Step 2: Convert to fraction form
    4,728.46/6,517.11 = 3,547.48/x
  3. Step 3: Cross multiply
    4,728.46x = 6,517.11 × 3,547.48
  4. Step 4: Simplify right side
    4,728.46x = 23,119,317.38
  5. Step 5: Solve for x
    x = 23,119,317.38/4,728.46
  6. Step 6: Final answer
    x = 4,889.40

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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.