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Finding the Fourth Proportional to 3,643.93, 5,465.55 and 1,563.55

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Solution

The fourth proportional to 3,643.93, 5,465.55 and 1,563.55 is: 2,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.93 : 5,465.55 = 1,563.55 : x
  2. Step 2: Convert to fraction form
    3,643.93/5,465.55 = 1,563.55/x
  3. Step 3: Cross multiply
    3,643.93x = 5,465.55 × 1,563.55
  4. Step 4: Simplify right side
    3,643.93x = 8,545,647.04
  5. Step 5: Solve for x
    x = 8,545,647.04/3,643.93
  6. Step 6: Final answer
    x = 2,345.17

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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.