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Finding the Fourth Proportional to 3,313.40, 4,970.10 and 3,264.80

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Solution

The fourth proportional to 3,313.40, 4,970.10 and 3,264.80 is: 4,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.40 : 4,970.10 = 3,264.80 : x
  2. Step 2: Convert to fraction form
    3,313.40/4,970.10 = 3,264.80/x
  3. Step 3: Cross multiply
    3,313.40x = 4,970.10 × 3,264.80
  4. Step 4: Simplify right side
    3,313.40x = 16,226,382.48
  5. Step 5: Solve for x
    x = 16,226,382.48/3,313.40
  6. Step 6: Final answer
    x = 4,897.20

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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.