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Finding the Fourth Proportional to 4,674.64, 6,448.98 and 2,684.74

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Solution

The fourth proportional to 4,674.64, 6,448.98 and 2,684.74 is: 3,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.64 : 6,448.98 = 2,684.74 : x
  2. Step 2: Convert to fraction form
    4,674.64/6,448.98 = 2,684.74/x
  3. Step 3: Cross multiply
    4,674.64x = 6,448.98 × 2,684.74
  4. Step 4: Simplify right side
    4,674.64x = 17,313,834.57
  5. Step 5: Solve for x
    x = 17,313,834.57/4,674.64
  6. Step 6: Final answer
    x = 3,703.78

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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.