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Finding the Fourth Proportional to 4,463.60, 6,695.69 and 2,271.74

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Solution

The fourth proportional to 4,463.60, 6,695.69 and 2,271.74 is: 3,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.60 : 6,695.69 = 2,271.74 : x
  2. Step 2: Convert to fraction form
    4,463.60/6,695.69 = 2,271.74/x
  3. Step 3: Cross multiply
    4,463.60x = 6,695.69 × 2,271.74
  4. Step 4: Simplify right side
    4,463.60x = 15,210,821.96
  5. Step 5: Solve for x
    x = 15,210,821.96/4,463.60
  6. Step 6: Final answer
    x = 3,407.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.