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Finding the Fourth Proportional to 5,877.99, 8,114.28 and 3,642.93

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Solution

The fourth proportional to 5,877.99, 8,114.28 and 3,642.93 is: 5,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.99 : 8,114.28 = 3,642.93 : x
  2. Step 2: Convert to fraction form
    5,877.99/8,114.28 = 3,642.93/x
  3. Step 3: Cross multiply
    5,877.99x = 8,114.28 × 3,642.93
  4. Step 4: Simplify right side
    5,877.99x = 29,559,754.04
  5. Step 5: Solve for x
    x = 29,559,754.04/5,877.99
  6. Step 6: Final answer
    x = 5,028.89

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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.