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Finding the Fourth Proportional to 3,643.34, 5,461.58 and 1,334.30

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Solution

The fourth proportional to 3,643.34, 5,461.58 and 1,334.30 is: 2,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.34 : 5,461.58 = 1,334.30 : x
  2. Step 2: Convert to fraction form
    3,643.34/5,461.58 = 1,334.30/x
  3. Step 3: Cross multiply
    3,643.34x = 5,461.58 × 1,334.30
  4. Step 4: Simplify right side
    3,643.34x = 7,287,362.22
  5. Step 5: Solve for x
    x = 7,287,362.22/3,643.34
  6. Step 6: Final answer
    x = 2,000.19

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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.