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Finding the Fourth Proportional to 3,568.88, 4,946.06 and 3,514.20

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Solution

The fourth proportional to 3,568.88, 4,946.06 and 3,514.20 is: 4,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.88 : 4,946.06 = 3,514.20 : x
  2. Step 2: Convert to fraction form
    3,568.88/4,946.06 = 3,514.20/x
  3. Step 3: Cross multiply
    3,568.88x = 4,946.06 × 3,514.20
  4. Step 4: Simplify right side
    3,568.88x = 17,381,426.48
  5. Step 5: Solve for x
    x = 17,381,426.48/3,568.88
  6. Step 6: Final answer
    x = 4,870.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.