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Finding the Fourth Proportional to 6,289.10, 8,678.95 and 3,494.60

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Solution

The fourth proportional to 6,289.10, 8,678.95 and 3,494.60 is: 4,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.10 : 8,678.95 = 3,494.60 : x
  2. Step 2: Convert to fraction form
    6,289.10/8,678.95 = 3,494.60/x
  3. Step 3: Cross multiply
    6,289.10x = 8,678.95 × 3,494.60
  4. Step 4: Simplify right side
    6,289.10x = 30,329,424.01
  5. Step 5: Solve for x
    x = 30,329,424.01/6,289.10
  6. Step 6: Final answer
    x = 4,822.54

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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.