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Finding the Fourth Proportional to 7,056.79, 9,738.22 and 3,869.99

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Solution

The fourth proportional to 7,056.79, 9,738.22 and 3,869.99 is: 5,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.79 : 9,738.22 = 3,869.99 : x
  2. Step 2: Convert to fraction form
    7,056.79/9,738.22 = 3,869.99/x
  3. Step 3: Cross multiply
    7,056.79x = 9,738.22 × 3,869.99
  4. Step 4: Simplify right side
    7,056.79x = 37,686,814.02
  5. Step 5: Solve for x
    x = 37,686,814.02/7,056.79
  6. Step 6: Final answer
    x = 5,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.