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Finding the Fourth Proportional to 4,611.06, 6,914.70 and 2,978.10

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Solution

The fourth proportional to 4,611.06, 6,914.70 and 2,978.10 is: 4,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.06 : 6,914.70 = 2,978.10 : x
  2. Step 2: Convert to fraction form
    4,611.06/6,914.70 = 2,978.10/x
  3. Step 3: Cross multiply
    4,611.06x = 6,914.70 × 2,978.10
  4. Step 4: Simplify right side
    4,611.06x = 20,592,668.07
  5. Step 5: Solve for x
    x = 20,592,668.07/4,611.06
  6. Step 6: Final answer
    x = 4,465.93

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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.