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Finding the Fourth Proportional to 3,658.96, 5,488.14 and 1,026.51

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Solution

The fourth proportional to 3,658.96, 5,488.14 and 1,026.51 is: 1,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.96 : 5,488.14 = 1,026.51 : x
  2. Step 2: Convert to fraction form
    3,658.96/5,488.14 = 1,026.51/x
  3. Step 3: Cross multiply
    3,658.96x = 5,488.14 × 1,026.51
  4. Step 4: Simplify right side
    3,658.96x = 5,633,630.59
  5. Step 5: Solve for x
    x = 5,633,630.59/3,658.96
  6. Step 6: Final answer
    x = 1,539.68

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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.