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Finding the Fourth Proportional to 3,830.64, 5,288.30 and 2,578.28

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Solution

The fourth proportional to 3,830.64, 5,288.30 and 2,578.28 is: 3,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,288.30 = 2,578.28 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,288.30 = 2,578.28/x
  3. Step 3: Cross multiply
    3,830.64x = 5,288.30 × 2,578.28
  4. Step 4: Simplify right side
    3,830.64x = 13,634,718.12
  5. Step 5: Solve for x
    x = 13,634,718.12/3,830.64
  6. Step 6: Final answer
    x = 3,559.38

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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.