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Finding the Fourth Proportional to 5,700.18, 7,864.29 and 4,211.22

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Solution

The fourth proportional to 5,700.18, 7,864.29 and 4,211.22 is: 5,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.18 : 7,864.29 = 4,211.22 : x
  2. Step 2: Convert to fraction form
    5,700.18/7,864.29 = 4,211.22/x
  3. Step 3: Cross multiply
    5,700.18x = 7,864.29 × 4,211.22
  4. Step 4: Simplify right side
    5,700.18x = 33,118,255.33
  5. Step 5: Solve for x
    x = 33,118,255.33/5,700.18
  6. Step 6: Final answer
    x = 5,810.04

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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.