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Finding the Fourth Proportional to 5,162.61, 7,743.90 and 1,464.84

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Solution

The fourth proportional to 5,162.61, 7,743.90 and 1,464.84 is: 2,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.61 : 7,743.90 = 1,464.84 : x
  2. Step 2: Convert to fraction form
    5,162.61/7,743.90 = 1,464.84/x
  3. Step 3: Cross multiply
    5,162.61x = 7,743.90 × 1,464.84
  4. Step 4: Simplify right side
    5,162.61x = 11,343,574.48
  5. Step 5: Solve for x
    x = 11,343,574.48/5,162.61
  6. Step 6: Final answer
    x = 2,197.26

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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.