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Finding the Fourth Proportional to 4,744.36, 6,547.26 and 2,755

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Solution

The fourth proportional to 4,744.36, 6,547.26 and 2,755 is: 3,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.36 : 6,547.26 = 2,755 : x
  2. Step 2: Convert to fraction form
    4,744.36/6,547.26 = 2,755/x
  3. Step 3: Cross multiply
    4,744.36x = 6,547.26 × 2,755
  4. Step 4: Simplify right side
    4,744.36x = 18,037,701.30
  5. Step 5: Solve for x
    x = 18,037,701.30/4,744.36
  6. Step 6: Final answer
    x = 3,801.93

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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.