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Finding the Fourth Proportional to 4,477.43, 6,178.74 and 2,488.16

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Solution

The fourth proportional to 4,477.43, 6,178.74 and 2,488.16 is: 3,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.43 : 6,178.74 = 2,488.16 : x
  2. Step 2: Convert to fraction form
    4,477.43/6,178.74 = 2,488.16/x
  3. Step 3: Cross multiply
    4,477.43x = 6,178.74 × 2,488.16
  4. Step 4: Simplify right side
    4,477.43x = 15,373,693.72
  5. Step 5: Solve for x
    x = 15,373,693.72/4,477.43
  6. Step 6: Final answer
    x = 3,433.60

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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.