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Finding the Fourth Proportional to 6,359, 8,775.42 and 3,564.56

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Solution

The fourth proportional to 6,359, 8,775.42 and 3,564.56 is: 4,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359 : 8,775.42 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    6,359/8,775.42 = 3,564.56/x
  3. Step 3: Cross multiply
    6,359x = 8,775.42 × 3,564.56
  4. Step 4: Simplify right side
    6,359x = 31,280,511.12
  5. Step 5: Solve for x
    x = 31,280,511.12/6,359
  6. Step 6: Final answer
    x = 4,919.09

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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.