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Finding the Fourth Proportional to 5,302.84, 7,953.16 and 2,014.78

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Solution

The fourth proportional to 5,302.84, 7,953.16 and 2,014.78 is: 3,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.84 : 7,953.16 = 2,014.78 : x
  2. Step 2: Convert to fraction form
    5,302.84/7,953.16 = 2,014.78/x
  3. Step 3: Cross multiply
    5,302.84x = 7,953.16 × 2,014.78
  4. Step 4: Simplify right side
    5,302.84x = 16,023,867.70
  5. Step 5: Solve for x
    x = 16,023,867.70/5,302.84
  6. Step 6: Final answer
    x = 3,021.75

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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.