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Finding the Fourth Proportional to 4,047.48, 6,066.74 and 3,719.42

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Solution

The fourth proportional to 4,047.48, 6,066.74 and 3,719.42 is: 5,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.48 : 6,066.74 = 3,719.42 : x
  2. Step 2: Convert to fraction form
    4,047.48/6,066.74 = 3,719.42/x
  3. Step 3: Cross multiply
    4,047.48x = 6,066.74 × 3,719.42
  4. Step 4: Simplify right side
    4,047.48x = 22,564,754.09
  5. Step 5: Solve for x
    x = 22,564,754.09/4,047.48
  6. Step 6: Final answer
    x = 5,575.01

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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.