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Finding the Fourth Proportional to 3,802.67, 5,700.60 and 2,048.61

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Solution

The fourth proportional to 3,802.67, 5,700.60 and 2,048.61 is: 3,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.67 : 5,700.60 = 2,048.61 : x
  2. Step 2: Convert to fraction form
    3,802.67/5,700.60 = 2,048.61/x
  3. Step 3: Cross multiply
    3,802.67x = 5,700.60 × 2,048.61
  4. Step 4: Simplify right side
    3,802.67x = 11,678,306.17
  5. Step 5: Solve for x
    x = 11,678,306.17/3,802.67
  6. Step 6: Final answer
    x = 3,071.08

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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.