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Finding the Fourth Proportional to 5,557.41, 7,661.18 and 4,228.81

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Solution

The fourth proportional to 5,557.41, 7,661.18 and 4,228.81 is: 5,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.41 : 7,661.18 = 4,228.81 : x
  2. Step 2: Convert to fraction form
    5,557.41/7,661.18 = 4,228.81/x
  3. Step 3: Cross multiply
    5,557.41x = 7,661.18 × 4,228.81
  4. Step 4: Simplify right side
    5,557.41x = 32,397,666.01
  5. Step 5: Solve for x
    x = 32,397,666.01/5,557.41
  6. Step 6: Final answer
    x = 5,829.63

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