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Finding the Fourth Proportional to 3,834.93, 5,290.56 and 2,506.32

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Solution

The fourth proportional to 3,834.93, 5,290.56 and 2,506.32 is: 3,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.93 : 5,290.56 = 2,506.32 : x
  2. Step 2: Convert to fraction form
    3,834.93/5,290.56 = 2,506.32/x
  3. Step 3: Cross multiply
    3,834.93x = 5,290.56 × 2,506.32
  4. Step 4: Simplify right side
    3,834.93x = 13,259,836.34
  5. Step 5: Solve for x
    x = 13,259,836.34/3,834.93
  6. Step 6: Final answer
    x = 3,457.65

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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.