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Finding the Fourth Proportional to 3,488.36, 4,802.18 and 3,022.70

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Solution

The fourth proportional to 3,488.36, 4,802.18 and 3,022.70 is: 4,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.36 : 4,802.18 = 3,022.70 : x
  2. Step 2: Convert to fraction form
    3,488.36/4,802.18 = 3,022.70/x
  3. Step 3: Cross multiply
    3,488.36x = 4,802.18 × 3,022.70
  4. Step 4: Simplify right side
    3,488.36x = 14,515,510.36
  5. Step 5: Solve for x
    x = 14,515,510.36/3,488.36
  6. Step 6: Final answer
    x = 4,161.13

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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.