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Finding the Fourth Proportional to 4,065.64, 6,098.52 and 1,104.23

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Solution

The fourth proportional to 4,065.64, 6,098.52 and 1,104.23 is: 1,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.64 : 6,098.52 = 1,104.23 : x
  2. Step 2: Convert to fraction form
    4,065.64/6,098.52 = 1,104.23/x
  3. Step 3: Cross multiply
    4,065.64x = 6,098.52 × 1,104.23
  4. Step 4: Simplify right side
    4,065.64x = 6,734,178.81
  5. Step 5: Solve for x
    x = 6,734,178.81/4,065.64
  6. Step 6: Final answer
    x = 1,656.36

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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.