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Finding the Fourth Proportional to 3,766.39, 5,202 and 3,547.69

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Solution

The fourth proportional to 3,766.39, 5,202 and 3,547.69 is: 4,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.39 : 5,202 = 3,547.69 : x
  2. Step 2: Convert to fraction form
    3,766.39/5,202 = 3,547.69/x
  3. Step 3: Cross multiply
    3,766.39x = 5,202 × 3,547.69
  4. Step 4: Simplify right side
    3,766.39x = 18,455,070.38
  5. Step 5: Solve for x
    x = 18,455,070.38/3,766.39
  6. Step 6: Final answer
    x = 4,899.94

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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.