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Finding the Fourth Proportional to 5,306.92, 7,320.30 and 3,421

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Solution

The fourth proportional to 5,306.92, 7,320.30 and 3,421 is: 4,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.92 : 7,320.30 = 3,421 : x
  2. Step 2: Convert to fraction form
    5,306.92/7,320.30 = 3,421/x
  3. Step 3: Cross multiply
    5,306.92x = 7,320.30 × 3,421
  4. Step 4: Simplify right side
    5,306.92x = 25,042,746.30
  5. Step 5: Solve for x
    x = 25,042,746.30/5,306.92
  6. Step 6: Final answer
    x = 4,718.89

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