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Finding the Fourth Proportional to 6,289.04, 8,678.88 and 3,494.56

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Solution

The fourth proportional to 6,289.04, 8,678.88 and 3,494.56 is: 4,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.04 : 8,678.88 = 3,494.56 : x
  2. Step 2: Convert to fraction form
    6,289.04/8,678.88 = 3,494.56/x
  3. Step 3: Cross multiply
    6,289.04x = 8,678.88 × 3,494.56
  4. Step 4: Simplify right side
    6,289.04x = 30,328,866.89
  5. Step 5: Solve for x
    x = 30,328,866.89/6,289.04
  6. Step 6: Final answer
    x = 4,822.50

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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.