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Finding the Fourth Proportional to 4,239.78, 6,322.42 and 4,145.61

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Solution

The fourth proportional to 4,239.78, 6,322.42 and 4,145.61 is: 6,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.78 : 6,322.42 = 4,145.61 : x
  2. Step 2: Convert to fraction form
    4,239.78/6,322.42 = 4,145.61/x
  3. Step 3: Cross multiply
    4,239.78x = 6,322.42 × 4,145.61
  4. Step 4: Simplify right side
    4,239.78x = 26,210,316.47
  5. Step 5: Solve for x
    x = 26,210,316.47/4,239.78
  6. Step 6: Final answer
    x = 6,182.00

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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.