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Finding the Fourth Proportional to 3,585.69, 4,948.20 and 2,188.44

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Solution

The fourth proportional to 3,585.69, 4,948.20 and 2,188.44 is: 3,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.69 : 4,948.20 = 2,188.44 : x
  2. Step 2: Convert to fraction form
    3,585.69/4,948.20 = 2,188.44/x
  3. Step 3: Cross multiply
    3,585.69x = 4,948.20 × 2,188.44
  4. Step 4: Simplify right side
    3,585.69x = 10,828,838.81
  5. Step 5: Solve for x
    x = 10,828,838.81/3,585.69
  6. Step 6: Final answer
    x = 3,020.02

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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.