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Finding the Fourth Proportional to 3,870.34, 5,805.03 and 2,290.00

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Solution

The fourth proportional to 3,870.34, 5,805.03 and 2,290.00 is: 3,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.34 : 5,805.03 = 2,290.00 : x
  2. Step 2: Convert to fraction form
    3,870.34/5,805.03 = 2,290.00/x
  3. Step 3: Cross multiply
    3,870.34x = 5,805.03 × 2,290.00
  4. Step 4: Simplify right side
    3,870.34x = 13,293,504.19
  5. Step 5: Solve for x
    x = 13,293,504.19/3,870.34
  6. Step 6: Final answer
    x = 3,434.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.