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Finding the Fourth Proportional to 6,222.76, 8,588.22 and 3,569.66

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Solution

The fourth proportional to 6,222.76, 8,588.22 and 3,569.66 is: 4,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.76 : 8,588.22 = 3,569.66 : x
  2. Step 2: Convert to fraction form
    6,222.76/8,588.22 = 3,569.66/x
  3. Step 3: Cross multiply
    6,222.76x = 8,588.22 × 3,569.66
  4. Step 4: Simplify right side
    6,222.76x = 30,657,025.41
  5. Step 5: Solve for x
    x = 30,657,025.41/6,222.76
  6. Step 6: Final answer
    x = 4,926.60

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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.