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Finding the Fourth Proportional to 4,693.64, 6,474.93 and 3,100.91

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Solution

The fourth proportional to 4,693.64, 6,474.93 and 3,100.91 is: 4,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.64 : 6,474.93 = 3,100.91 : x
  2. Step 2: Convert to fraction form
    4,693.64/6,474.93 = 3,100.91/x
  3. Step 3: Cross multiply
    4,693.64x = 6,474.93 × 3,100.91
  4. Step 4: Simplify right side
    4,693.64x = 20,078,175.19
  5. Step 5: Solve for x
    x = 20,078,175.19/4,693.64
  6. Step 6: Final answer
    x = 4,277.74

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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.