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Finding the Fourth Proportional to 3,471.60, 5,210.08 and 1,282.40

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Solution

The fourth proportional to 3,471.60, 5,210.08 and 1,282.40 is: 1,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.60 : 5,210.08 = 1,282.40 : x
  2. Step 2: Convert to fraction form
    3,471.60/5,210.08 = 1,282.40/x
  3. Step 3: Cross multiply
    3,471.60x = 5,210.08 × 1,282.40
  4. Step 4: Simplify right side
    3,471.60x = 6,681,406.59
  5. Step 5: Solve for x
    x = 6,681,406.59/3,471.60
  6. Step 6: Final answer
    x = 1,924.59

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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.