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Finding the Fourth Proportional to 3,643.75, 5,465.64 and 1,999.40

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Solution

The fourth proportional to 3,643.75, 5,465.64 and 1,999.40 is: 2,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.75 : 5,465.64 = 1,999.40 : x
  2. Step 2: Convert to fraction form
    3,643.75/5,465.64 = 1,999.40/x
  3. Step 3: Cross multiply
    3,643.75x = 5,465.64 × 1,999.40
  4. Step 4: Simplify right side
    3,643.75x = 10,927,980.04
  5. Step 5: Solve for x
    x = 10,927,980.04/3,643.75
  6. Step 6: Final answer
    x = 2,999.11

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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.