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Finding the Fourth Proportional to 2,752.87, 3,798.03 and 1,573.10

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Solution

The fourth proportional to 2,752.87, 3,798.03 and 1,573.10 is: 2,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.87 : 3,798.03 = 1,573.10 : x
  2. Step 2: Convert to fraction form
    2,752.87/3,798.03 = 1,573.10/x
  3. Step 3: Cross multiply
    2,752.87x = 3,798.03 × 1,573.10
  4. Step 4: Simplify right side
    2,752.87x = 5,974,690.49
  5. Step 5: Solve for x
    x = 5,974,690.49/2,752.87
  6. Step 6: Final answer
    x = 2,170.35

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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.