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Finding the Fourth Proportional to 4,653, 6,976.62 and 2,188.32

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Solution

The fourth proportional to 4,653, 6,976.62 and 2,188.32 is: 3,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653 : 6,976.62 = 2,188.32 : x
  2. Step 2: Convert to fraction form
    4,653/6,976.62 = 2,188.32/x
  3. Step 3: Cross multiply
    4,653x = 6,976.62 × 2,188.32
  4. Step 4: Simplify right side
    4,653x = 15,267,077.08
  5. Step 5: Solve for x
    x = 15,267,077.08/4,653
  6. Step 6: Final answer
    x = 3,281.13

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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.