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Finding the Fourth Proportional to 6,154.74, 8,494.02 and 3,502.98

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Solution

The fourth proportional to 6,154.74, 8,494.02 and 3,502.98 is: 4,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.74 : 8,494.02 = 3,502.98 : x
  2. Step 2: Convert to fraction form
    6,154.74/8,494.02 = 3,502.98/x
  3. Step 3: Cross multiply
    6,154.74x = 8,494.02 × 3,502.98
  4. Step 4: Simplify right side
    6,154.74x = 29,754,382.18
  5. Step 5: Solve for x
    x = 29,754,382.18/6,154.74
  6. Step 6: Final answer
    x = 4,834.38

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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.