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Finding the Fourth Proportional to 3,969.74, 5,476.98 and 2,290.92

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Solution

The fourth proportional to 3,969.74, 5,476.98 and 2,290.92 is: 3,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.74 : 5,476.98 = 2,290.92 : x
  2. Step 2: Convert to fraction form
    3,969.74/5,476.98 = 2,290.92/x
  3. Step 3: Cross multiply
    3,969.74x = 5,476.98 × 2,290.92
  4. Step 4: Simplify right side
    3,969.74x = 12,547,325.26
  5. Step 5: Solve for x
    x = 12,547,325.26/3,969.74
  6. Step 6: Final answer
    x = 3,160.74

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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.