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Finding the Fourth Proportional to 6,153.12, 8,490.18 and 4,056

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Solution

The fourth proportional to 6,153.12, 8,490.18 and 4,056 is: 5,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.12 : 8,490.18 = 4,056 : x
  2. Step 2: Convert to fraction form
    6,153.12/8,490.18 = 4,056/x
  3. Step 3: Cross multiply
    6,153.12x = 8,490.18 × 4,056
  4. Step 4: Simplify right side
    6,153.12x = 34,436,170.08
  5. Step 5: Solve for x
    x = 34,436,170.08/6,153.12
  6. Step 6: Final answer
    x = 5,596.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.