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Finding the Fourth Proportional to 5,604.64, 7,732.58 and 3,246.32

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Solution

The fourth proportional to 5,604.64, 7,732.58 and 3,246.32 is: 4,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.64 : 7,732.58 = 3,246.32 : x
  2. Step 2: Convert to fraction form
    5,604.64/7,732.58 = 3,246.32/x
  3. Step 3: Cross multiply
    5,604.64x = 7,732.58 × 3,246.32
  4. Step 4: Simplify right side
    5,604.64x = 25,102,429.11
  5. Step 5: Solve for x
    x = 25,102,429.11/5,604.64
  6. Step 6: Final answer
    x = 4,478.87

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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.