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Finding the Fourth Proportional to 3,730.77, 5,597.06 and 1,232.11

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Solution

The fourth proportional to 3,730.77, 5,597.06 and 1,232.11 is: 1,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.77 : 5,597.06 = 1,232.11 : x
  2. Step 2: Convert to fraction form
    3,730.77/5,597.06 = 1,232.11/x
  3. Step 3: Cross multiply
    3,730.77x = 5,597.06 × 1,232.11
  4. Step 4: Simplify right side
    3,730.77x = 6,896,197.65
  5. Step 5: Solve for x
    x = 6,896,197.65/3,730.77
  6. Step 6: Final answer
    x = 1,848.47

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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.