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Finding the Fourth Proportional to 6,389.51, 9,585.16 and 2,689.43

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Solution

The fourth proportional to 6,389.51, 9,585.16 and 2,689.43 is: 4,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.51 : 9,585.16 = 2,689.43 : x
  2. Step 2: Convert to fraction form
    6,389.51/9,585.16 = 2,689.43/x
  3. Step 3: Cross multiply
    6,389.51x = 9,585.16 × 2,689.43
  4. Step 4: Simplify right side
    6,389.51x = 25,778,562.21
  5. Step 5: Solve for x
    x = 25,778,562.21/6,389.51
  6. Step 6: Final answer
    x = 4,034.52

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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.