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Finding the Fourth Proportional to 6,492.24, 8,961.68 and 3,840.56

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Solution

The fourth proportional to 6,492.24, 8,961.68 and 3,840.56 is: 5,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.24 : 8,961.68 = 3,840.56 : x
  2. Step 2: Convert to fraction form
    6,492.24/8,961.68 = 3,840.56/x
  3. Step 3: Cross multiply
    6,492.24x = 8,961.68 × 3,840.56
  4. Step 4: Simplify right side
    6,492.24x = 34,417,869.74
  5. Step 5: Solve for x
    x = 34,417,869.74/6,492.24
  6. Step 6: Final answer
    x = 5,301.39

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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.