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Finding the Fourth Proportional to 5,700.96, 7,865.61 and 5,513.04

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Solution

The fourth proportional to 5,700.96, 7,865.61 and 5,513.04 is: 7,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.96 : 7,865.61 = 5,513.04 : x
  2. Step 2: Convert to fraction form
    5,700.96/7,865.61 = 5,513.04/x
  3. Step 3: Cross multiply
    5,700.96x = 7,865.61 × 5,513.04
  4. Step 4: Simplify right side
    5,700.96x = 43,363,422.55
  5. Step 5: Solve for x
    x = 43,363,422.55/5,700.96
  6. Step 6: Final answer
    x = 7,606.34

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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.