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Finding the Fourth Proportional to 5,658.66, 8,488.80 and 2,327.94

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Solution

The fourth proportional to 5,658.66, 8,488.80 and 2,327.94 is: 3,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.66 : 8,488.80 = 2,327.94 : x
  2. Step 2: Convert to fraction form
    5,658.66/8,488.80 = 2,327.94/x
  3. Step 3: Cross multiply
    5,658.66x = 8,488.80 × 2,327.94
  4. Step 4: Simplify right side
    5,658.66x = 19,761,417.07
  5. Step 5: Solve for x
    x = 19,761,417.07/5,658.66
  6. Step 6: Final answer
    x = 3,492.24

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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.