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Finding the Fourth Proportional to 4,303.49, 6,454.92 and 1,381.01

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Solution

The fourth proportional to 4,303.49, 6,454.92 and 1,381.01 is: 2,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.49 : 6,454.92 = 1,381.01 : x
  2. Step 2: Convert to fraction form
    4,303.49/6,454.92 = 1,381.01/x
  3. Step 3: Cross multiply
    4,303.49x = 6,454.92 × 1,381.01
  4. Step 4: Simplify right side
    4,303.49x = 8,914,309.07
  5. Step 5: Solve for x
    x = 8,914,309.07/4,303.49
  6. Step 6: Final answer
    x = 2,071.41

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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.