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Finding the Fourth Proportional to 4,741.08, 7,114.19 and 1,969.66

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Solution

The fourth proportional to 4,741.08, 7,114.19 and 1,969.66 is: 2,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.08 : 7,114.19 = 1,969.66 : x
  2. Step 2: Convert to fraction form
    4,741.08/7,114.19 = 1,969.66/x
  3. Step 3: Cross multiply
    4,741.08x = 7,114.19 × 1,969.66
  4. Step 4: Simplify right side
    4,741.08x = 14,012,534.52
  5. Step 5: Solve for x
    x = 14,012,534.52/4,741.08
  6. Step 6: Final answer
    x = 2,955.56

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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.