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Finding the Fourth Proportional to 3,724, 5,586.80 and 1,258.88

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Solution

The fourth proportional to 3,724, 5,586.80 and 1,258.88 is: 1,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724 : 5,586.80 = 1,258.88 : x
  2. Step 2: Convert to fraction form
    3,724/5,586.80 = 1,258.88/x
  3. Step 3: Cross multiply
    3,724x = 5,586.80 × 1,258.88
  4. Step 4: Simplify right side
    3,724x = 7,033,110.78
  5. Step 5: Solve for x
    x = 7,033,110.78/3,724
  6. Step 6: Final answer
    x = 1,888.59

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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.