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Finding the Fourth Proportional to 4,726.56, 6,526.78 and 2,961.20

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Solution

The fourth proportional to 4,726.56, 6,526.78 and 2,961.20 is: 4,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.56 : 6,526.78 = 2,961.20 : x
  2. Step 2: Convert to fraction form
    4,726.56/6,526.78 = 2,961.20/x
  3. Step 3: Cross multiply
    4,726.56x = 6,526.78 × 2,961.20
  4. Step 4: Simplify right side
    4,726.56x = 19,327,100.94
  5. Step 5: Solve for x
    x = 19,327,100.94/4,726.56
  6. Step 6: Final answer
    x = 4,089.04

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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.