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Finding the Fourth Proportional to 4,611.16, 6,914.08 and 3,152.08

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Solution

The fourth proportional to 4,611.16, 6,914.08 and 3,152.08 is: 4,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.16 : 6,914.08 = 3,152.08 : x
  2. Step 2: Convert to fraction form
    4,611.16/6,914.08 = 3,152.08/x
  3. Step 3: Cross multiply
    4,611.16x = 6,914.08 × 3,152.08
  4. Step 4: Simplify right side
    4,611.16x = 21,793,733.29
  5. Step 5: Solve for x
    x = 21,793,733.29/4,611.16
  6. Step 6: Final answer
    x = 4,726.30

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Why These Related Problems?

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