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Finding the Fourth Proportional to 3,585.96, 4,930.74 and 3,061.08

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Solution

The fourth proportional to 3,585.96, 4,930.74 and 3,061.08 is: 4,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.96 : 4,930.74 = 3,061.08 : x
  2. Step 2: Convert to fraction form
    3,585.96/4,930.74 = 3,061.08/x
  3. Step 3: Cross multiply
    3,585.96x = 4,930.74 × 3,061.08
  4. Step 4: Simplify right side
    3,585.96x = 15,093,389.60
  5. Step 5: Solve for x
    x = 15,093,389.60/3,585.96
  6. Step 6: Final answer
    x = 4,209.02

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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.