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Finding the Fourth Proportional to 3,574.69, 5,359.56 and 1,572.42

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Solution

The fourth proportional to 3,574.69, 5,359.56 and 1,572.42 is: 2,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.69 : 5,359.56 = 1,572.42 : x
  2. Step 2: Convert to fraction form
    3,574.69/5,359.56 = 1,572.42/x
  3. Step 3: Cross multiply
    3,574.69x = 5,359.56 × 1,572.42
  4. Step 4: Simplify right side
    3,574.69x = 8,427,482.89
  5. Step 5: Solve for x
    x = 8,427,482.89/3,574.69
  6. Step 6: Final answer
    x = 2,357.54

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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.