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Finding the Fourth Proportional to 6,205.77, 8,564.36 and 3,554.06

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Solution

The fourth proportional to 6,205.77, 8,564.36 and 3,554.06 is: 4,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.77 : 8,564.36 = 3,554.06 : x
  2. Step 2: Convert to fraction form
    6,205.77/8,564.36 = 3,554.06/x
  3. Step 3: Cross multiply
    6,205.77x = 8,564.36 × 3,554.06
  4. Step 4: Simplify right side
    6,205.77x = 30,438,188.71
  5. Step 5: Solve for x
    x = 30,438,188.71/6,205.77
  6. Step 6: Final answer
    x = 4,904.82

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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.