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Finding the Fourth Proportional to 5,851.66, 8,777.49 and 1,956.10

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Solution

The fourth proportional to 5,851.66, 8,777.49 and 1,956.10 is: 2,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.66 : 8,777.49 = 1,956.10 : x
  2. Step 2: Convert to fraction form
    5,851.66/8,777.49 = 1,956.10/x
  3. Step 3: Cross multiply
    5,851.66x = 8,777.49 × 1,956.10
  4. Step 4: Simplify right side
    5,851.66x = 17,169,648.19
  5. Step 5: Solve for x
    x = 17,169,648.19/5,851.66
  6. Step 6: Final answer
    x = 2,934.15

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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.