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Finding the Fourth Proportional to 5,894.14, 8,132.72 and 4,477.46

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Solution

The fourth proportional to 5,894.14, 8,132.72 and 4,477.46 is: 6,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.14 : 8,132.72 = 4,477.46 : x
  2. Step 2: Convert to fraction form
    5,894.14/8,132.72 = 4,477.46/x
  3. Step 3: Cross multiply
    5,894.14x = 8,132.72 × 4,477.46
  4. Step 4: Simplify right side
    5,894.14x = 36,413,928.49
  5. Step 5: Solve for x
    x = 36,413,928.49/5,894.14
  6. Step 6: Final answer
    x = 6,177.99

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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.