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Finding the Fourth Proportional to 3,460.52, 4,772.58 and 3,114.92

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Solution

The fourth proportional to 3,460.52, 4,772.58 and 3,114.92 is: 4,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.52 : 4,772.58 = 3,114.92 : x
  2. Step 2: Convert to fraction form
    3,460.52/4,772.58 = 3,114.92/x
  3. Step 3: Cross multiply
    3,460.52x = 4,772.58 × 3,114.92
  4. Step 4: Simplify right side
    3,460.52x = 14,866,204.89
  5. Step 5: Solve for x
    x = 14,866,204.89/3,460.52
  6. Step 6: Final answer
    x = 4,295.95

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1.5x scale

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.