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Finding the Fourth Proportional to 5,830.82, 8,750.18 and 2,542.01

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Solution

The fourth proportional to 5,830.82, 8,750.18 and 2,542.01 is: 3,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.82 : 8,750.18 = 2,542.01 : x
  2. Step 2: Convert to fraction form
    5,830.82/8,750.18 = 2,542.01/x
  3. Step 3: Cross multiply
    5,830.82x = 8,750.18 × 2,542.01
  4. Step 4: Simplify right side
    5,830.82x = 22,243,045.06
  5. Step 5: Solve for x
    x = 22,243,045.06/5,830.82
  6. Step 6: Final answer
    x = 3,814.74

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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.