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Finding the Fourth Proportional to 3,457.98, 4,767.12 and 2,711.16

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Solution

The fourth proportional to 3,457.98, 4,767.12 and 2,711.16 is: 3,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.98 : 4,767.12 = 2,711.16 : x
  2. Step 2: Convert to fraction form
    3,457.98/4,767.12 = 2,711.16/x
  3. Step 3: Cross multiply
    3,457.98x = 4,767.12 × 2,711.16
  4. Step 4: Simplify right side
    3,457.98x = 12,924,425.06
  5. Step 5: Solve for x
    x = 12,924,425.06/3,457.98
  6. Step 6: Final answer
    x = 3,737.57

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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.