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Finding the Fourth Proportional to 5,904.14, 8,140.14 and 4,837.97

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Solution

The fourth proportional to 5,904.14, 8,140.14 and 4,837.97 is: 6,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.14 : 8,140.14 = 4,837.97 : x
  2. Step 2: Convert to fraction form
    5,904.14/8,140.14 = 4,837.97/x
  3. Step 3: Cross multiply
    5,904.14x = 8,140.14 × 4,837.97
  4. Step 4: Simplify right side
    5,904.14x = 39,381,773.47
  5. Step 5: Solve for x
    x = 39,381,773.47/5,904.14
  6. Step 6: Final answer
    x = 6,670.20

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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.