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Finding the Fourth Proportional to 4,301.81, 6,409.47 and 4,018.91

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Solution

The fourth proportional to 4,301.81, 6,409.47 and 4,018.91 is: 5,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.81 : 6,409.47 = 4,018.91 : x
  2. Step 2: Convert to fraction form
    4,301.81/6,409.47 = 4,018.91/x
  3. Step 3: Cross multiply
    4,301.81x = 6,409.47 × 4,018.91
  4. Step 4: Simplify right side
    4,301.81x = 25,759,062.98
  5. Step 5: Solve for x
    x = 25,759,062.98/4,301.81
  6. Step 6: Final answer
    x = 5,987.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.