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Finding the Fourth Proportional to 5,127.84, 7,638.84 and 4,809.12

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Solution

The fourth proportional to 5,127.84, 7,638.84 and 4,809.12 is: 7,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.84 : 7,638.84 = 4,809.12 : x
  2. Step 2: Convert to fraction form
    5,127.84/7,638.84 = 4,809.12/x
  3. Step 3: Cross multiply
    5,127.84x = 7,638.84 × 4,809.12
  4. Step 4: Simplify right side
    5,127.84x = 36,736,098.22
  5. Step 5: Solve for x
    x = 36,736,098.22/5,127.84
  6. Step 6: Final answer
    x = 7,164.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.