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Finding the Fourth Proportional to 3,456.84, 4,772.40 and 2,647.76

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Solution

The fourth proportional to 3,456.84, 4,772.40 and 2,647.76 is: 3,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.84 : 4,772.40 = 2,647.76 : x
  2. Step 2: Convert to fraction form
    3,456.84/4,772.40 = 2,647.76/x
  3. Step 3: Cross multiply
    3,456.84x = 4,772.40 × 2,647.76
  4. Step 4: Simplify right side
    3,456.84x = 12,636,169.82
  5. Step 5: Solve for x
    x = 12,636,169.82/3,456.84
  6. Step 6: Final answer
    x = 3,655.41

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1.5x scale

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.