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Finding the Fourth Proportional to 3,804.42, 5,707.02 and 1,466.38

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Solution

The fourth proportional to 3,804.42, 5,707.02 and 1,466.38 is: 2,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.42 : 5,707.02 = 1,466.38 : x
  2. Step 2: Convert to fraction form
    3,804.42/5,707.02 = 1,466.38/x
  3. Step 3: Cross multiply
    3,804.42x = 5,707.02 × 1,466.38
  4. Step 4: Simplify right side
    3,804.42x = 8,368,644.20
  5. Step 5: Solve for x
    x = 8,368,644.20/3,804.42
  6. Step 6: Final answer
    x = 2,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.