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Finding the Fourth Proportional to 3,417.60, 4,731.84 and 3,244.80

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Solution

The fourth proportional to 3,417.60, 4,731.84 and 3,244.80 is: 4,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.60 : 4,731.84 = 3,244.80 : x
  2. Step 2: Convert to fraction form
    3,417.60/4,731.84 = 3,244.80/x
  3. Step 3: Cross multiply
    3,417.60x = 4,731.84 × 3,244.80
  4. Step 4: Simplify right side
    3,417.60x = 15,353,874.43
  5. Step 5: Solve for x
    x = 15,353,874.43/3,417.60
  6. Step 6: Final answer
    x = 4,492.59

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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.