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Finding the Fourth Proportional to 4,160.74, 5,741.76 and 2,482.96

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Solution

The fourth proportional to 4,160.74, 5,741.76 and 2,482.96 is: 3,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.74 : 5,741.76 = 2,482.96 : x
  2. Step 2: Convert to fraction form
    4,160.74/5,741.76 = 2,482.96/x
  3. Step 3: Cross multiply
    4,160.74x = 5,741.76 × 2,482.96
  4. Step 4: Simplify right side
    4,160.74x = 14,256,560.41
  5. Step 5: Solve for x
    x = 14,256,560.41/4,160.74
  6. Step 6: Final answer
    x = 3,426.45

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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.