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Finding the Fourth Proportional to 5,302.34, 7,952.41 and 2,014.28

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Solution

The fourth proportional to 5,302.34, 7,952.41 and 2,014.28 is: 3,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.34 : 7,952.41 = 2,014.28 : x
  2. Step 2: Convert to fraction form
    5,302.34/7,952.41 = 2,014.28/x
  3. Step 3: Cross multiply
    5,302.34x = 7,952.41 × 2,014.28
  4. Step 4: Simplify right side
    5,302.34x = 16,018,380.41
  5. Step 5: Solve for x
    x = 16,018,380.41/5,302.34
  6. Step 6: Final answer
    x = 3,021.00

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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.