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Finding the Fourth Proportional to 4,694.32, 6,473.88 and 4,030.96

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Solution

The fourth proportional to 4,694.32, 6,473.88 and 4,030.96 is: 5,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.32 : 6,473.88 = 4,030.96 : x
  2. Step 2: Convert to fraction form
    4,694.32/6,473.88 = 4,030.96/x
  3. Step 3: Cross multiply
    4,694.32x = 6,473.88 × 4,030.96
  4. Step 4: Simplify right side
    4,694.32x = 26,095,951.32
  5. Step 5: Solve for x
    x = 26,095,951.32/4,694.32
  6. Step 6: Final answer
    x = 5,559.05

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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.