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Finding the Fourth Proportional to 3,536.71, 5,307.37 and 1,345.46

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Solution

The fourth proportional to 3,536.71, 5,307.37 and 1,345.46 is: 2,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.71 : 5,307.37 = 1,345.46 : x
  2. Step 2: Convert to fraction form
    3,536.71/5,307.37 = 1,345.46/x
  3. Step 3: Cross multiply
    3,536.71x = 5,307.37 × 1,345.46
  4. Step 4: Simplify right side
    3,536.71x = 7,140,861.56
  5. Step 5: Solve for x
    x = 7,140,861.56/3,536.71
  6. Step 6: Final answer
    x = 2,019.07

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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.