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Finding the Fourth Proportional to 6,358.83, 8,774.48 and 3,564.27

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Solution

The fourth proportional to 6,358.83, 8,774.48 and 3,564.27 is: 4,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.83 : 8,774.48 = 3,564.27 : x
  2. Step 2: Convert to fraction form
    6,358.83/8,774.48 = 3,564.27/x
  3. Step 3: Cross multiply
    6,358.83x = 8,774.48 × 3,564.27
  4. Step 4: Simplify right side
    6,358.83x = 31,274,598.01
  5. Step 5: Solve for x
    x = 31,274,598.01/6,358.83
  6. Step 6: Final answer
    x = 4,918.29

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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.