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Finding the Fourth Proportional to 5,715.60, 7,885.80 and 3,356.40

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Solution

The fourth proportional to 5,715.60, 7,885.80 and 3,356.40 is: 4,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.60 : 7,885.80 = 3,356.40 : x
  2. Step 2: Convert to fraction form
    5,715.60/7,885.80 = 3,356.40/x
  3. Step 3: Cross multiply
    5,715.60x = 7,885.80 × 3,356.40
  4. Step 4: Simplify right side
    5,715.60x = 26,467,899.12
  5. Step 5: Solve for x
    x = 26,467,899.12/5,715.60
  6. Step 6: Final answer
    x = 4,630.82

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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.