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Finding the Fourth Proportional to 5,187.76, 7,157.08 and 4,066.72

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Solution

The fourth proportional to 5,187.76, 7,157.08 and 4,066.72 is: 5,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.76 : 7,157.08 = 4,066.72 : x
  2. Step 2: Convert to fraction form
    5,187.76/7,157.08 = 4,066.72/x
  3. Step 3: Cross multiply
    5,187.76x = 7,157.08 × 4,066.72
  4. Step 4: Simplify right side
    5,187.76x = 29,105,840.38
  5. Step 5: Solve for x
    x = 29,105,840.38/5,187.76
  6. Step 6: Final answer
    x = 5,610.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.