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Finding the Fourth Proportional to 4,133.70, 6,182.55 and 3,698.10

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Solution

The fourth proportional to 4,133.70, 6,182.55 and 3,698.10 is: 5,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.70 : 6,182.55 = 3,698.10 : x
  2. Step 2: Convert to fraction form
    4,133.70/6,182.55 = 3,698.10/x
  3. Step 3: Cross multiply
    4,133.70x = 6,182.55 × 3,698.10
  4. Step 4: Simplify right side
    4,133.70x = 22,863,688.16
  5. Step 5: Solve for x
    x = 22,863,688.16/4,133.70
  6. Step 6: Final answer
    x = 5,531.05

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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.