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Finding the Fourth Proportional to 4,310.57, 6,465.88 and 1,713.51

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Solution

The fourth proportional to 4,310.57, 6,465.88 and 1,713.51 is: 2,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.57 : 6,465.88 = 1,713.51 : x
  2. Step 2: Convert to fraction form
    4,310.57/6,465.88 = 1,713.51/x
  3. Step 3: Cross multiply
    4,310.57x = 6,465.88 × 1,713.51
  4. Step 4: Simplify right side
    4,310.57x = 11,079,350.04
  5. Step 5: Solve for x
    x = 11,079,350.04/4,310.57
  6. Step 6: Final answer
    x = 2,570.27

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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.