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Finding the Fourth Proportional to 5,710.84, 8,567.94 and 1,815.16

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Solution

The fourth proportional to 5,710.84, 8,567.94 and 1,815.16 is: 2,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.84 : 8,567.94 = 1,815.16 : x
  2. Step 2: Convert to fraction form
    5,710.84/8,567.94 = 1,815.16/x
  3. Step 3: Cross multiply
    5,710.84x = 8,567.94 × 1,815.16
  4. Step 4: Simplify right side
    5,710.84x = 15,552,181.97
  5. Step 5: Solve for x
    x = 15,552,181.97/5,710.84
  6. Step 6: Final answer
    x = 2,723.27

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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.