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Finding the Fourth Proportional to 6,206.90, 8,564.78 and 3,554.14

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Solution

The fourth proportional to 6,206.90, 8,564.78 and 3,554.14 is: 4,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.90 : 8,564.78 = 3,554.14 : x
  2. Step 2: Convert to fraction form
    6,206.90/8,564.78 = 3,554.14/x
  3. Step 3: Cross multiply
    6,206.90x = 8,564.78 × 3,554.14
  4. Step 4: Simplify right side
    6,206.90x = 30,440,427.19
  5. Step 5: Solve for x
    x = 30,440,427.19/6,206.90
  6. Step 6: Final answer
    x = 4,904.29

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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.