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Finding the Fourth Proportional to 3,722, 5,585.56 and 1,290

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Solution

The fourth proportional to 3,722, 5,585.56 and 1,290 is: 1,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722 : 5,585.56 = 1,290 : x
  2. Step 2: Convert to fraction form
    3,722/5,585.56 = 1,290/x
  3. Step 3: Cross multiply
    3,722x = 5,585.56 × 1,290
  4. Step 4: Simplify right side
    3,722x = 7,205,372.40
  5. Step 5: Solve for x
    x = 7,205,372.40/3,722
  6. Step 6: Final answer
    x = 1,935.89

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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.