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Finding the Fourth Proportional to 3,656.40, 5,484.90 and 1,023.92

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Solution

The fourth proportional to 3,656.40, 5,484.90 and 1,023.92 is: 1,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.40 : 5,484.90 = 1,023.92 : x
  2. Step 2: Convert to fraction form
    3,656.40/5,484.90 = 1,023.92/x
  3. Step 3: Cross multiply
    3,656.40x = 5,484.90 × 1,023.92
  4. Step 4: Simplify right side
    3,656.40x = 5,616,098.81
  5. Step 5: Solve for x
    x = 5,616,098.81/3,656.40
  6. Step 6: Final answer
    x = 1,535.96

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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.