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Finding the Fourth Proportional to 5,840.02, 8,051.97 and 4,716.82

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Solution

The fourth proportional to 5,840.02, 8,051.97 and 4,716.82 is: 6,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.02 : 8,051.97 = 4,716.82 : x
  2. Step 2: Convert to fraction form
    5,840.02/8,051.97 = 4,716.82/x
  3. Step 3: Cross multiply
    5,840.02x = 8,051.97 × 4,716.82
  4. Step 4: Simplify right side
    5,840.02x = 37,979,693.14
  5. Step 5: Solve for x
    x = 37,979,693.14/5,840.02
  6. Step 6: Final answer
    x = 6,503.35

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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.