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Finding the Fourth Proportional to 3,476.94, 4,798.18 and 1,883.61

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Solution

The fourth proportional to 3,476.94, 4,798.18 and 1,883.61 is: 2,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.94 : 4,798.18 = 1,883.61 : x
  2. Step 2: Convert to fraction form
    3,476.94/4,798.18 = 1,883.61/x
  3. Step 3: Cross multiply
    3,476.94x = 4,798.18 × 1,883.61
  4. Step 4: Simplify right side
    3,476.94x = 9,037,884.19
  5. Step 5: Solve for x
    x = 9,037,884.19/3,476.94
  6. Step 6: Final answer
    x = 2,599.38

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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.