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Finding the Fourth Proportional to 3,564.58, 5,345.93 and 1,065.18

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Solution

The fourth proportional to 3,564.58, 5,345.93 and 1,065.18 is: 1,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.58 : 5,345.93 = 1,065.18 : x
  2. Step 2: Convert to fraction form
    3,564.58/5,345.93 = 1,065.18/x
  3. Step 3: Cross multiply
    3,564.58x = 5,345.93 × 1,065.18
  4. Step 4: Simplify right side
    3,564.58x = 5,694,377.72
  5. Step 5: Solve for x
    x = 5,694,377.72/3,564.58
  6. Step 6: Final answer
    x = 1,597.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.