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Finding the Fourth Proportional to 3,562.88, 4,916.44 and 2,070.78

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Solution

The fourth proportional to 3,562.88, 4,916.44 and 2,070.78 is: 2,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.88 : 4,916.44 = 2,070.78 : x
  2. Step 2: Convert to fraction form
    3,562.88/4,916.44 = 2,070.78/x
  3. Step 3: Cross multiply
    3,562.88x = 4,916.44 × 2,070.78
  4. Step 4: Simplify right side
    3,562.88x = 10,180,860.45
  5. Step 5: Solve for x
    x = 10,180,860.45/3,562.88
  6. Step 6: Final answer
    x = 2,857.48

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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.