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Finding the Fourth Proportional to 4,751.38, 6,552.66 and 2,983.15

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Solution

The fourth proportional to 4,751.38, 6,552.66 and 2,983.15 is: 4,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.38 : 6,552.66 = 2,983.15 : x
  2. Step 2: Convert to fraction form
    4,751.38/6,552.66 = 2,983.15/x
  3. Step 3: Cross multiply
    4,751.38x = 6,552.66 × 2,983.15
  4. Step 4: Simplify right side
    4,751.38x = 19,547,567.68
  5. Step 5: Solve for x
    x = 19,547,567.68/4,751.38
  6. Step 6: Final answer
    x = 4,114.08

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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.