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Finding the Fourth Proportional to 5,403.84, 7,457.31 and 2,919.84

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Solution

The fourth proportional to 5,403.84, 7,457.31 and 2,919.84 is: 4,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.84 : 7,457.31 = 2,919.84 : x
  2. Step 2: Convert to fraction form
    5,403.84/7,457.31 = 2,919.84/x
  3. Step 3: Cross multiply
    5,403.84x = 7,457.31 × 2,919.84
  4. Step 4: Simplify right side
    5,403.84x = 21,774,169.05
  5. Step 5: Solve for x
    x = 21,774,169.05/5,403.84
  6. Step 6: Final answer
    x = 4,029.39

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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.