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Finding the Fourth Proportional to 6,180.11, 8,527.90 and 3,527

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Solution

The fourth proportional to 6,180.11, 8,527.90 and 3,527 is: 4,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.11 : 8,527.90 = 3,527 : x
  2. Step 2: Convert to fraction form
    6,180.11/8,527.90 = 3,527/x
  3. Step 3: Cross multiply
    6,180.11x = 8,527.90 × 3,527
  4. Step 4: Simplify right side
    6,180.11x = 30,077,903.30
  5. Step 5: Solve for x
    x = 30,077,903.30/6,180.11
  6. Step 6: Final answer
    x = 4,866.89

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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.