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Finding the Fourth Proportional to 4,336, 5,983.98 and 2,473

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Solution

The fourth proportional to 4,336, 5,983.98 and 2,473 is: 3,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336 : 5,983.98 = 2,473 : x
  2. Step 2: Convert to fraction form
    4,336/5,983.98 = 2,473/x
  3. Step 3: Cross multiply
    4,336x = 5,983.98 × 2,473
  4. Step 4: Simplify right side
    4,336x = 14,798,382.54
  5. Step 5: Solve for x
    x = 14,798,382.54/4,336
  6. Step 6: Final answer
    x = 3,412.91

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