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Finding the Fourth Proportional to 4,206.53, 5,803.22 and 2,437.49

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Solution

The fourth proportional to 4,206.53, 5,803.22 and 2,437.49 is: 3,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.53 : 5,803.22 = 2,437.49 : x
  2. Step 2: Convert to fraction form
    4,206.53/5,803.22 = 2,437.49/x
  3. Step 3: Cross multiply
    4,206.53x = 5,803.22 × 2,437.49
  4. Step 4: Simplify right side
    4,206.53x = 14,145,261.70
  5. Step 5: Solve for x
    x = 14,145,261.70/4,206.53
  6. Step 6: Final answer
    x = 3,362.70

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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.