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Finding the Fourth Proportional to 4,706.32, 7,054.68 and 2,976.08

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Solution

The fourth proportional to 4,706.32, 7,054.68 and 2,976.08 is: 4,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.32 : 7,054.68 = 2,976.08 : x
  2. Step 2: Convert to fraction form
    4,706.32/7,054.68 = 2,976.08/x
  3. Step 3: Cross multiply
    4,706.32x = 7,054.68 × 2,976.08
  4. Step 4: Simplify right side
    4,706.32x = 20,995,292.05
  5. Step 5: Solve for x
    x = 20,995,292.05/4,706.32
  6. Step 6: Final answer
    x = 4,461.08

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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.