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Finding the Fourth Proportional to 3,895.74, 5,848.20 and 3,074.58

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Solution

The fourth proportional to 3,895.74, 5,848.20 and 3,074.58 is: 4,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.74 : 5,848.20 = 3,074.58 : x
  2. Step 2: Convert to fraction form
    3,895.74/5,848.20 = 3,074.58/x
  3. Step 3: Cross multiply
    3,895.74x = 5,848.20 × 3,074.58
  4. Step 4: Simplify right side
    3,895.74x = 17,980,758.76
  5. Step 5: Solve for x
    x = 17,980,758.76/3,895.74
  6. Step 6: Final answer
    x = 4,615.49

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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.