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Finding the Fourth Proportional to 5,402.40, 7,453.12 and 3,307.74

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Solution

The fourth proportional to 5,402.40, 7,453.12 and 3,307.74 is: 4,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.40 : 7,453.12 = 3,307.74 : x
  2. Step 2: Convert to fraction form
    5,402.40/7,453.12 = 3,307.74/x
  3. Step 3: Cross multiply
    5,402.40x = 7,453.12 × 3,307.74
  4. Step 4: Simplify right side
    5,402.40x = 24,652,983.15
  5. Step 5: Solve for x
    x = 24,652,983.15/5,402.40
  6. Step 6: Final answer
    x = 4,563.34

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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.