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Finding the Fourth Proportional to 4,474.52, 6,175.62 and 4,277.72

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Solution

The fourth proportional to 4,474.52, 6,175.62 and 4,277.72 is: 5,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.52 : 6,175.62 = 4,277.72 : x
  2. Step 2: Convert to fraction form
    4,474.52/6,175.62 = 4,277.72/x
  3. Step 3: Cross multiply
    4,474.52x = 6,175.62 × 4,277.72
  4. Step 4: Simplify right side
    4,474.52x = 26,417,573.19
  5. Step 5: Solve for x
    x = 26,417,573.19/4,474.52
  6. Step 6: Final answer
    x = 5,904.00

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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.