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Finding the Fourth Proportional to 5,192.84, 7,166.10 and 2,924.00

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Solution

The fourth proportional to 5,192.84, 7,166.10 and 2,924.00 is: 4,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.84 : 7,166.10 = 2,924.00 : x
  2. Step 2: Convert to fraction form
    5,192.84/7,166.10 = 2,924.00/x
  3. Step 3: Cross multiply
    5,192.84x = 7,166.10 × 2,924.00
  4. Step 4: Simplify right side
    5,192.84x = 20,953,678.41
  5. Step 5: Solve for x
    x = 20,953,678.41/5,192.84
  6. Step 6: Final answer
    x = 4,035.11

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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.