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Finding the Fourth Proportional to 4,648.95, 6,968.15 and 2,306.02

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Solution

The fourth proportional to 4,648.95, 6,968.15 and 2,306.02 is: 3,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.95 : 6,968.15 = 2,306.02 : x
  2. Step 2: Convert to fraction form
    4,648.95/6,968.15 = 2,306.02/x
  3. Step 3: Cross multiply
    4,648.95x = 6,968.15 × 2,306.02
  4. Step 4: Simplify right side
    4,648.95x = 16,068,681.73
  5. Step 5: Solve for x
    x = 16,068,681.73/4,648.95
  6. Step 6: Final answer
    x = 3,456.41

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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.