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Finding the Fourth Proportional to 4,663.84, 6,999.12 and 3,434.32

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Solution

The fourth proportional to 4,663.84, 6,999.12 and 3,434.32 is: 5,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.84 : 6,999.12 = 3,434.32 : x
  2. Step 2: Convert to fraction form
    4,663.84/6,999.12 = 3,434.32/x
  3. Step 3: Cross multiply
    4,663.84x = 6,999.12 × 3,434.32
  4. Step 4: Simplify right side
    4,663.84x = 24,037,217.80
  5. Step 5: Solve for x
    x = 24,037,217.80/4,663.84
  6. Step 6: Final answer
    x = 5,153.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.