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Finding the Fourth Proportional to 5,036.83, 7,541.40 and 3,800.50

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Solution

The fourth proportional to 5,036.83, 7,541.40 and 3,800.50 is: 5,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.83 : 7,541.40 = 3,800.50 : x
  2. Step 2: Convert to fraction form
    5,036.83/7,541.40 = 3,800.50/x
  3. Step 3: Cross multiply
    5,036.83x = 7,541.40 × 3,800.50
  4. Step 4: Simplify right side
    5,036.83x = 28,661,128.52
  5. Step 5: Solve for x
    x = 28,661,128.52/5,036.83
  6. Step 6: Final answer
    x = 5,690.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.