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Finding the Fourth Proportional to 5,790.16, 8,689.56 and 2,714.32

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Solution

The fourth proportional to 5,790.16, 8,689.56 and 2,714.32 is: 4,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.16 : 8,689.56 = 2,714.32 : x
  2. Step 2: Convert to fraction form
    5,790.16/8,689.56 = 2,714.32/x
  3. Step 3: Cross multiply
    5,790.16x = 8,689.56 × 2,714.32
  4. Step 4: Simplify right side
    5,790.16x = 23,586,246.50
  5. Step 5: Solve for x
    x = 23,586,246.50/5,790.16
  6. Step 6: Final answer
    x = 4,073.51

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Why These Related Problems?

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