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Finding the Fourth Proportional to 2,758.86, 3,807.23 and 2,549.57

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Solution

The fourth proportional to 2,758.86, 3,807.23 and 2,549.57 is: 3,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 3,807.23 = 2,549.57 : x
  2. Step 2: Convert to fraction form
    2,758.86/3,807.23 = 2,549.57/x
  3. Step 3: Cross multiply
    2,758.86x = 3,807.23 × 2,549.57
  4. Step 4: Simplify right side
    2,758.86x = 9,706,767.61
  5. Step 5: Solve for x
    x = 9,706,767.61/2,758.86
  6. Step 6: Final answer
    x = 3,518.40

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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.