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Finding the Fourth Proportional to 4,976.30, 7,464.02 and 1,689.32

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Solution

The fourth proportional to 4,976.30, 7,464.02 and 1,689.32 is: 2,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.30 : 7,464.02 = 1,689.32 : x
  2. Step 2: Convert to fraction form
    4,976.30/7,464.02 = 1,689.32/x
  3. Step 3: Cross multiply
    4,976.30x = 7,464.02 × 1,689.32
  4. Step 4: Simplify right side
    4,976.30x = 12,609,118.27
  5. Step 5: Solve for x
    x = 12,609,118.27/4,976.30
  6. Step 6: Final answer
    x = 2,533.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.