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Finding the Fourth Proportional to 4,432.84, 6,123.54 and 3,197.32

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Solution

The fourth proportional to 4,432.84, 6,123.54 and 3,197.32 is: 4,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.84 : 6,123.54 = 3,197.32 : x
  2. Step 2: Convert to fraction form
    4,432.84/6,123.54 = 3,197.32/x
  3. Step 3: Cross multiply
    4,432.84x = 6,123.54 × 3,197.32
  4. Step 4: Simplify right side
    4,432.84x = 19,578,916.91
  5. Step 5: Solve for x
    x = 19,578,916.91/4,432.84
  6. Step 6: Final answer
    x = 4,416.79

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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.