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Finding the Fourth Proportional to 5,652.17, 7,800.47 and 3,294.46

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Solution

The fourth proportional to 5,652.17, 7,800.47 and 3,294.46 is: 4,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.17 : 7,800.47 = 3,294.46 : x
  2. Step 2: Convert to fraction form
    5,652.17/7,800.47 = 3,294.46/x
  3. Step 3: Cross multiply
    5,652.17x = 7,800.47 × 3,294.46
  4. Step 4: Simplify right side
    5,652.17x = 25,698,336.40
  5. Step 5: Solve for x
    x = 25,698,336.40/5,652.17
  6. Step 6: Final answer
    x = 4,546.63

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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.