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Finding the Fourth Proportional to 4,400.84, 6,588 and 2,837.74

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Solution

The fourth proportional to 4,400.84, 6,588 and 2,837.74 is: 4,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.84 : 6,588 = 2,837.74 : x
  2. Step 2: Convert to fraction form
    4,400.84/6,588 = 2,837.74/x
  3. Step 3: Cross multiply
    4,400.84x = 6,588 × 2,837.74
  4. Step 4: Simplify right side
    4,400.84x = 18,695,031.12
  5. Step 5: Solve for x
    x = 18,695,031.12/4,400.84
  6. Step 6: Final answer
    x = 4,248.06

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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.