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Finding the Fourth Proportional to 5,652.34, 7,798.65 and 3,294.02

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Solution

The fourth proportional to 5,652.34, 7,798.65 and 3,294.02 is: 4,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.34 : 7,798.65 = 3,294.02 : x
  2. Step 2: Convert to fraction form
    5,652.34/7,798.65 = 3,294.02/x
  3. Step 3: Cross multiply
    5,652.34x = 7,798.65 × 3,294.02
  4. Step 4: Simplify right side
    5,652.34x = 25,688,916.22
  5. Step 5: Solve for x
    x = 25,688,916.22/5,652.34
  6. Step 6: Final answer
    x = 4,544.83

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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.