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Finding the Fourth Proportional to 3,569.56, 5,362.56 and 2,532.14

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Solution

The fourth proportional to 3,569.56, 5,362.56 and 2,532.14 is: 3,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.56 : 5,362.56 = 2,532.14 : x
  2. Step 2: Convert to fraction form
    3,569.56/5,362.56 = 2,532.14/x
  3. Step 3: Cross multiply
    3,569.56x = 5,362.56 × 2,532.14
  4. Step 4: Simplify right side
    3,569.56x = 13,578,752.68
  5. Step 5: Solve for x
    x = 13,578,752.68/3,569.56
  6. Step 6: Final answer
    x = 3,804.04

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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.