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Finding the Fourth Proportional to 5,700.58, 7,877.66 and 4,112.44

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Solution

The fourth proportional to 5,700.58, 7,877.66 and 4,112.44 is: 5,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.58 : 7,877.66 = 4,112.44 : x
  2. Step 2: Convert to fraction form
    5,700.58/7,877.66 = 4,112.44/x
  3. Step 3: Cross multiply
    5,700.58x = 7,877.66 × 4,112.44
  4. Step 4: Simplify right side
    5,700.58x = 32,396,363.83
  5. Step 5: Solve for x
    x = 32,396,363.83/5,700.58
  6. Step 6: Final answer
    x = 5,683.00

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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.