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Finding the Fourth Proportional to 5,333.84, 8,000.76 and 2,415.68

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Solution

The fourth proportional to 5,333.84, 8,000.76 and 2,415.68 is: 3,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.84 : 8,000.76 = 2,415.68 : x
  2. Step 2: Convert to fraction form
    5,333.84/8,000.76 = 2,415.68/x
  3. Step 3: Cross multiply
    5,333.84x = 8,000.76 × 2,415.68
  4. Step 4: Simplify right side
    5,333.84x = 19,327,275.92
  5. Step 5: Solve for x
    x = 19,327,275.92/5,333.84
  6. Step 6: Final answer
    x = 3,623.52

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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.