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Finding the Fourth Proportional to 3,495.84, 5,244.08 and 1,444

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Solution

The fourth proportional to 3,495.84, 5,244.08 and 1,444 is: 2,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.84 : 5,244.08 = 1,444 : x
  2. Step 2: Convert to fraction form
    3,495.84/5,244.08 = 1,444/x
  3. Step 3: Cross multiply
    3,495.84x = 5,244.08 × 1,444
  4. Step 4: Simplify right side
    3,495.84x = 7,572,451.52
  5. Step 5: Solve for x
    x = 7,572,451.52/3,495.84
  6. Step 6: Final answer
    x = 2,166.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.