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Finding the Fourth Proportional to 5,484, 8,226.08 and 1,588.42

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Solution

The fourth proportional to 5,484, 8,226.08 and 1,588.42 is: 2,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484 : 8,226.08 = 1,588.42 : x
  2. Step 2: Convert to fraction form
    5,484/8,226.08 = 1,588.42/x
  3. Step 3: Cross multiply
    5,484x = 8,226.08 × 1,588.42
  4. Step 4: Simplify right side
    5,484x = 13,066,469.99
  5. Step 5: Solve for x
    x = 13,066,469.99/5,484
  6. Step 6: Final answer
    x = 2,382.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.