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Finding the Fourth Proportional to 4,693.32, 6,477.84 and 2,704.23

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Solution

The fourth proportional to 4,693.32, 6,477.84 and 2,704.23 is: 3,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.32 : 6,477.84 = 2,704.23 : x
  2. Step 2: Convert to fraction form
    4,693.32/6,477.84 = 2,704.23/x
  3. Step 3: Cross multiply
    4,693.32x = 6,477.84 × 2,704.23
  4. Step 4: Simplify right side
    4,693.32x = 17,517,569.26
  5. Step 5: Solve for x
    x = 17,517,569.26/4,693.32
  6. Step 6: Final answer
    x = 3,732.45

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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.