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Finding the Fourth Proportional to 5,720.94, 8,582.84 and 3,087.32

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Solution

The fourth proportional to 5,720.94, 8,582.84 and 3,087.32 is: 4,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.94 : 8,582.84 = 3,087.32 : x
  2. Step 2: Convert to fraction form
    5,720.94/8,582.84 = 3,087.32/x
  3. Step 3: Cross multiply
    5,720.94x = 8,582.84 × 3,087.32
  4. Step 4: Simplify right side
    5,720.94x = 26,497,918.13
  5. Step 5: Solve for x
    x = 26,497,918.13/5,720.94
  6. Step 6: Final answer
    x = 4,631.74

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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.