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Finding the Fourth Proportional to 4,708.64, 6,497.74 and 2,612.90

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Solution

The fourth proportional to 4,708.64, 6,497.74 and 2,612.90 is: 3,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.64 : 6,497.74 = 2,612.90 : x
  2. Step 2: Convert to fraction form
    4,708.64/6,497.74 = 2,612.90/x
  3. Step 3: Cross multiply
    4,708.64x = 6,497.74 × 2,612.90
  4. Step 4: Simplify right side
    4,708.64x = 16,977,944.85
  5. Step 5: Solve for x
    x = 16,977,944.85/4,708.64
  6. Step 6: Final answer
    x = 3,605.70

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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.