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Finding the Fourth Proportional to 3,412.61, 5,116.29 and 3,064.88

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Solution

The fourth proportional to 3,412.61, 5,116.29 and 3,064.88 is: 4,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.61 : 5,116.29 = 3,064.88 : x
  2. Step 2: Convert to fraction form
    3,412.61/5,116.29 = 3,064.88/x
  3. Step 3: Cross multiply
    3,412.61x = 5,116.29 × 3,064.88
  4. Step 4: Simplify right side
    3,412.61x = 15,680,808.50
  5. Step 5: Solve for x
    x = 15,680,808.50/3,412.61
  6. Step 6: Final answer
    x = 4,594.96

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1.5x scale

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.