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Finding the Fourth Proportional to 3,643.92, 5,465.29 and 1,303.49

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Solution

The fourth proportional to 3,643.92, 5,465.29 and 1,303.49 is: 1,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.92 : 5,465.29 = 1,303.49 : x
  2. Step 2: Convert to fraction form
    3,643.92/5,465.29 = 1,303.49/x
  3. Step 3: Cross multiply
    3,643.92x = 5,465.29 × 1,303.49
  4. Step 4: Simplify right side
    3,643.92x = 7,123,935.41
  5. Step 5: Solve for x
    x = 7,123,935.41/3,643.92
  6. Step 6: Final answer
    x = 1,955.02

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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.