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Finding the Fourth Proportional to 5,709.66, 8,566.24 and 2,710.02

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Solution

The fourth proportional to 5,709.66, 8,566.24 and 2,710.02 is: 4,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.66 : 8,566.24 = 2,710.02 : x
  2. Step 2: Convert to fraction form
    5,709.66/8,566.24 = 2,710.02/x
  3. Step 3: Cross multiply
    5,709.66x = 8,566.24 × 2,710.02
  4. Step 4: Simplify right side
    5,709.66x = 23,214,681.72
  5. Step 5: Solve for x
    x = 23,214,681.72/5,709.66
  6. Step 6: Final answer
    x = 4,065.86

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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.