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Finding the Fourth Proportional to 4,569, 6,854.58 and 1,491

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Solution

The fourth proportional to 4,569, 6,854.58 and 1,491 is: 2,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 6,854.58 = 1,491 : x
  2. Step 2: Convert to fraction form
    4,569/6,854.58 = 1,491/x
  3. Step 3: Cross multiply
    4,569x = 6,854.58 × 1,491
  4. Step 4: Simplify right side
    4,569x = 10,220,178.78
  5. Step 5: Solve for x
    x = 10,220,178.78/4,569
  6. Step 6: Final answer
    x = 2,236.85

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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.