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Finding the Fourth Proportional to 4,741.16, 7,116.94 and 1,969.80

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Solution

The fourth proportional to 4,741.16, 7,116.94 and 1,969.80 is: 2,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.16 : 7,116.94 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    4,741.16/7,116.94 = 1,969.80/x
  3. Step 3: Cross multiply
    4,741.16x = 7,116.94 × 1,969.80
  4. Step 4: Simplify right side
    4,741.16x = 14,018,948.41
  5. Step 5: Solve for x
    x = 14,018,948.41/4,741.16
  6. Step 6: Final answer
    x = 2,956.86

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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.