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Finding the Fourth Proportional to 3,488.82, 4,802.54 and 3,013.83

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Solution

The fourth proportional to 3,488.82, 4,802.54 and 3,013.83 is: 4,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.82 : 4,802.54 = 3,013.83 : x
  2. Step 2: Convert to fraction form
    3,488.82/4,802.54 = 3,013.83/x
  3. Step 3: Cross multiply
    3,488.82x = 4,802.54 × 3,013.83
  4. Step 4: Simplify right side
    3,488.82x = 14,474,024.06
  5. Step 5: Solve for x
    x = 14,474,024.06/3,488.82
  6. Step 6: Final answer
    x = 4,148.69

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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.