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Finding the Fourth Proportional to 4,133.70, 5,697.95 and 3,247.98

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Solution

The fourth proportional to 4,133.70, 5,697.95 and 3,247.98 is: 4,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.70 : 5,697.95 = 3,247.98 : x
  2. Step 2: Convert to fraction form
    4,133.70/5,697.95 = 3,247.98/x
  3. Step 3: Cross multiply
    4,133.70x = 5,697.95 × 3,247.98
  4. Step 4: Simplify right side
    4,133.70x = 18,506,811.40
  5. Step 5: Solve for x
    x = 18,506,811.40/4,133.70
  6. Step 6: Final answer
    x = 4,477.06

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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.