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Finding the Fourth Proportional to 5,710.34, 8,566.44 and 1,760.68

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Solution

The fourth proportional to 5,710.34, 8,566.44 and 1,760.68 is: 2,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.34 : 8,566.44 = 1,760.68 : x
  2. Step 2: Convert to fraction form
    5,710.34/8,566.44 = 1,760.68/x
  3. Step 3: Cross multiply
    5,710.34x = 8,566.44 × 1,760.68
  4. Step 4: Simplify right side
    5,710.34x = 15,082,715.50
  5. Step 5: Solve for x
    x = 15,082,715.50/5,710.34
  6. Step 6: Final answer
    x = 2,641.30

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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.