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Finding the Fourth Proportional to 3,506.64, 5,264.10 and 3,490.80

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Solution

The fourth proportional to 3,506.64, 5,264.10 and 3,490.80 is: 5,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.64 : 5,264.10 = 3,490.80 : x
  2. Step 2: Convert to fraction form
    3,506.64/5,264.10 = 3,490.80/x
  3. Step 3: Cross multiply
    3,506.64x = 5,264.10 × 3,490.80
  4. Step 4: Simplify right side
    3,506.64x = 18,375,920.28
  5. Step 5: Solve for x
    x = 18,375,920.28/3,506.64
  6. Step 6: Final answer
    x = 5,240.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.