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Finding the Fourth Proportional to 3,656.17, 5,484.35 and 1,059.31

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Solution

The fourth proportional to 3,656.17, 5,484.35 and 1,059.31 is: 1,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.17 : 5,484.35 = 1,059.31 : x
  2. Step 2: Convert to fraction form
    3,656.17/5,484.35 = 1,059.31/x
  3. Step 3: Cross multiply
    3,656.17x = 5,484.35 × 1,059.31
  4. Step 4: Simplify right side
    3,656.17x = 5,809,626.80
  5. Step 5: Solve for x
    x = 5,809,626.80/3,656.17
  6. Step 6: Final answer
    x = 1,588.99

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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.