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Finding the Fourth Proportional to 4,568, 6,303.36 and 2,799.20

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Solution

The fourth proportional to 4,568, 6,303.36 and 2,799.20 is: 3,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568 : 6,303.36 = 2,799.20 : x
  2. Step 2: Convert to fraction form
    4,568/6,303.36 = 2,799.20/x
  3. Step 3: Cross multiply
    4,568x = 6,303.36 × 2,799.20
  4. Step 4: Simplify right side
    4,568x = 17,644,365.31
  5. Step 5: Solve for x
    x = 17,644,365.31/4,568
  6. Step 6: Final answer
    x = 3,862.60

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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.