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Finding the Fourth Proportional to 5,884.16, 8,123.64 and 5,228.12

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Solution

The fourth proportional to 5,884.16, 8,123.64 and 5,228.12 is: 7,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.16 : 8,123.64 = 5,228.12 : x
  2. Step 2: Convert to fraction form
    5,884.16/8,123.64 = 5,228.12/x
  3. Step 3: Cross multiply
    5,884.16x = 8,123.64 × 5,228.12
  4. Step 4: Simplify right side
    5,884.16x = 42,471,364.76
  5. Step 5: Solve for x
    x = 42,471,364.76/5,884.16
  6. Step 6: Final answer
    x = 7,217.91

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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.