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Finding the Fourth Proportional to 3,655.74, 5,483.97 and 1,059.06

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Solution

The fourth proportional to 3,655.74, 5,483.97 and 1,059.06 is: 1,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.74 : 5,483.97 = 1,059.06 : x
  2. Step 2: Convert to fraction form
    3,655.74/5,483.97 = 1,059.06/x
  3. Step 3: Cross multiply
    3,655.74x = 5,483.97 × 1,059.06
  4. Step 4: Simplify right side
    3,655.74x = 5,807,853.27
  5. Step 5: Solve for x
    x = 5,807,853.27/3,655.74
  6. Step 6: Final answer
    x = 1,588.69

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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.