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Finding the Fourth Proportional to 3,488.67, 4,817.49 and 2,602.94

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Solution

The fourth proportional to 3,488.67, 4,817.49 and 2,602.94 is: 3,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.67 : 4,817.49 = 2,602.94 : x
  2. Step 2: Convert to fraction form
    3,488.67/4,817.49 = 2,602.94/x
  3. Step 3: Cross multiply
    3,488.67x = 4,817.49 × 2,602.94
  4. Step 4: Simplify right side
    3,488.67x = 12,539,637.42
  5. Step 5: Solve for x
    x = 12,539,637.42/3,488.67
  6. Step 6: Final answer
    x = 3,594.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.