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Finding the Fourth Proportional to 6,144.14, 8,477.91 and 3,490.98

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Solution

The fourth proportional to 6,144.14, 8,477.91 and 3,490.98 is: 4,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.14 : 8,477.91 = 3,490.98 : x
  2. Step 2: Convert to fraction form
    6,144.14/8,477.91 = 3,490.98/x
  3. Step 3: Cross multiply
    6,144.14x = 8,477.91 × 3,490.98
  4. Step 4: Simplify right side
    6,144.14x = 29,596,214.25
  5. Step 5: Solve for x
    x = 29,596,214.25/6,144.14
  6. Step 6: Final answer
    x = 4,816.99

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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.