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Finding the Fourth Proportional to 3,564.16, 5,345.66 and 1,065.31

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Solution

The fourth proportional to 3,564.16, 5,345.66 and 1,065.31 is: 1,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.16 : 5,345.66 = 1,065.31 : x
  2. Step 2: Convert to fraction form
    3,564.16/5,345.66 = 1,065.31/x
  3. Step 3: Cross multiply
    3,564.16x = 5,345.66 × 1,065.31
  4. Step 4: Simplify right side
    3,564.16x = 5,694,774.35
  5. Step 5: Solve for x
    x = 5,694,774.35/3,564.16
  6. Step 6: Final answer
    x = 1,597.79

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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.