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Finding the Fourth Proportional to 3,527.61, 4,862.88 and 2,780.09

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Solution

The fourth proportional to 3,527.61, 4,862.88 and 2,780.09 is: 3,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.61 : 4,862.88 = 2,780.09 : x
  2. Step 2: Convert to fraction form
    3,527.61/4,862.88 = 2,780.09/x
  3. Step 3: Cross multiply
    3,527.61x = 4,862.88 × 2,780.09
  4. Step 4: Simplify right side
    3,527.61x = 13,519,219.74
  5. Step 5: Solve for x
    x = 13,519,219.74/3,527.61
  6. Step 6: Final answer
    x = 3,832.40

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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.