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Finding the Fourth Proportional to 5,638.72, 7,780.80 and 3,280.64

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Solution

The fourth proportional to 5,638.72, 7,780.80 and 3,280.64 is: 4,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.72 : 7,780.80 = 3,280.64 : x
  2. Step 2: Convert to fraction form
    5,638.72/7,780.80 = 3,280.64/x
  3. Step 3: Cross multiply
    5,638.72x = 7,780.80 × 3,280.64
  4. Step 4: Simplify right side
    5,638.72x = 25,526,003.71
  5. Step 5: Solve for x
    x = 25,526,003.71/5,638.72
  6. Step 6: Final answer
    x = 4,526.91

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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.