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Finding the Fourth Proportional to 3,539.64, 5,307.42 and 1,461.07

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Solution

The fourth proportional to 3,539.64, 5,307.42 and 1,461.07 is: 2,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.64 : 5,307.42 = 1,461.07 : x
  2. Step 2: Convert to fraction form
    3,539.64/5,307.42 = 1,461.07/x
  3. Step 3: Cross multiply
    3,539.64x = 5,307.42 × 1,461.07
  4. Step 4: Simplify right side
    3,539.64x = 7,754,512.14
  5. Step 5: Solve for x
    x = 7,754,512.14/3,539.64
  6. Step 6: Final answer
    x = 2,190.77

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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.