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Finding the Fourth Proportional to 4,354.66, 6,527.12 and 1,885.78

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Solution

The fourth proportional to 4,354.66, 6,527.12 and 1,885.78 is: 2,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.66 : 6,527.12 = 1,885.78 : x
  2. Step 2: Convert to fraction form
    4,354.66/6,527.12 = 1,885.78/x
  3. Step 3: Cross multiply
    4,354.66x = 6,527.12 × 1,885.78
  4. Step 4: Simplify right side
    4,354.66x = 12,308,679.72
  5. Step 5: Solve for x
    x = 12,308,679.72/4,354.66
  6. Step 6: Final answer
    x = 2,826.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.