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Finding the Fourth Proportional to 3,866.70, 5,333.66 and 2,374.06

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Solution

The fourth proportional to 3,866.70, 5,333.66 and 2,374.06 is: 3,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.70 : 5,333.66 = 2,374.06 : x
  2. Step 2: Convert to fraction form
    3,866.70/5,333.66 = 2,374.06/x
  3. Step 3: Cross multiply
    3,866.70x = 5,333.66 × 2,374.06
  4. Step 4: Simplify right side
    3,866.70x = 12,662,428.86
  5. Step 5: Solve for x
    x = 12,662,428.86/3,866.70
  6. Step 6: Final answer
    x = 3,274.74

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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.