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Finding the Fourth Proportional to 4,547.64, 6,821.46 and 3,251.64

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Solution

The fourth proportional to 4,547.64, 6,821.46 and 3,251.64 is: 4,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.64 : 6,821.46 = 3,251.64 : x
  2. Step 2: Convert to fraction form
    4,547.64/6,821.46 = 3,251.64/x
  3. Step 3: Cross multiply
    4,547.64x = 6,821.46 × 3,251.64
  4. Step 4: Simplify right side
    4,547.64x = 22,180,932.19
  5. Step 5: Solve for x
    x = 22,180,932.19/4,547.64
  6. Step 6: Final answer
    x = 4,877.46

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Similar ratio
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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.