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Finding the Fourth Proportional to 3,643.19, 5,465.15 and 1,451.40

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Solution

The fourth proportional to 3,643.19, 5,465.15 and 1,451.40 is: 2,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.19 : 5,465.15 = 1,451.40 : x
  2. Step 2: Convert to fraction form
    3,643.19/5,465.15 = 1,451.40/x
  3. Step 3: Cross multiply
    3,643.19x = 5,465.15 × 1,451.40
  4. Step 4: Simplify right side
    3,643.19x = 7,932,111.45
  5. Step 5: Solve for x
    x = 7,932,111.45/3,643.19
  6. Step 6: Final answer
    x = 2,177.25

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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.