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Finding the Fourth Proportional to 4,477.78, 6,178.95 and 2,488.30

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Solution

The fourth proportional to 4,477.78, 6,178.95 and 2,488.30 is: 3,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.78 : 6,178.95 = 2,488.30 : x
  2. Step 2: Convert to fraction form
    4,477.78/6,178.95 = 2,488.30/x
  3. Step 3: Cross multiply
    4,477.78x = 6,178.95 × 2,488.30
  4. Step 4: Simplify right side
    4,477.78x = 15,375,081.29
  5. Step 5: Solve for x
    x = 15,375,081.29/4,477.78
  6. Step 6: Final answer
    x = 3,433.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.