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Finding the Fourth Proportional to 5,569.05, 8,289.94 and 5,486

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Solution

The fourth proportional to 5,569.05, 8,289.94 and 5,486 is: 8,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.05 : 8,289.94 = 5,486 : x
  2. Step 2: Convert to fraction form
    5,569.05/8,289.94 = 5,486/x
  3. Step 3: Cross multiply
    5,569.05x = 8,289.94 × 5,486
  4. Step 4: Simplify right side
    5,569.05x = 45,478,610.84
  5. Step 5: Solve for x
    x = 45,478,610.84/5,569.05
  6. Step 6: Final answer
    x = 8,166.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.