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Finding the Fourth Proportional to 3,569.82, 5,352.93 and 1,695.17

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Solution

The fourth proportional to 3,569.82, 5,352.93 and 1,695.17 is: 2,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.82 : 5,352.93 = 1,695.17 : x
  2. Step 2: Convert to fraction form
    3,569.82/5,352.93 = 1,695.17/x
  3. Step 3: Cross multiply
    3,569.82x = 5,352.93 × 1,695.17
  4. Step 4: Simplify right side
    3,569.82x = 9,074,099.58
  5. Step 5: Solve for x
    x = 9,074,099.58/3,569.82
  6. Step 6: Final answer
    x = 2,541.89

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1.5x scale

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.