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Finding the Fourth Proportional to 3,643.46, 5,461.72 and 2,323.51

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Solution

The fourth proportional to 3,643.46, 5,461.72 and 2,323.51 is: 3,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.46 : 5,461.72 = 2,323.51 : x
  2. Step 2: Convert to fraction form
    3,643.46/5,461.72 = 2,323.51/x
  3. Step 3: Cross multiply
    3,643.46x = 5,461.72 × 2,323.51
  4. Step 4: Simplify right side
    3,643.46x = 12,690,354.64
  5. Step 5: Solve for x
    x = 12,690,354.64/3,643.46
  6. Step 6: Final answer
    x = 3,483.05

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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.