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Finding the Fourth Proportional to 3,585.96, 4,948.28 and 2,093.80

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Solution

The fourth proportional to 3,585.96, 4,948.28 and 2,093.80 is: 2,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.96 : 4,948.28 = 2,093.80 : x
  2. Step 2: Convert to fraction form
    3,585.96/4,948.28 = 2,093.80/x
  3. Step 3: Cross multiply
    3,585.96x = 4,948.28 × 2,093.80
  4. Step 4: Simplify right side
    3,585.96x = 10,360,708.66
  5. Step 5: Solve for x
    x = 10,360,708.66/3,585.96
  6. Step 6: Final answer
    x = 2,889.24

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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.