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Finding the Fourth Proportional to 4,477.70, 6,178.95 and 2,488.22

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Solution

The fourth proportional to 4,477.70, 6,178.95 and 2,488.22 is: 3,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.70 : 6,178.95 = 2,488.22 : x
  2. Step 2: Convert to fraction form
    4,477.70/6,178.95 = 2,488.22/x
  3. Step 3: Cross multiply
    4,477.70x = 6,178.95 × 2,488.22
  4. Step 4: Simplify right side
    4,477.70x = 15,374,579.25
  5. Step 5: Solve for x
    x = 15,374,579.25/4,477.70
  6. Step 6: Final answer
    x = 3,433.59

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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.