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Finding the Fourth Proportional to 4,169.61, 6,256.04 and 1,574.37

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Solution

The fourth proportional to 4,169.61, 6,256.04 and 1,574.37 is: 2,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.61 : 6,256.04 = 1,574.37 : x
  2. Step 2: Convert to fraction form
    4,169.61/6,256.04 = 1,574.37/x
  3. Step 3: Cross multiply
    4,169.61x = 6,256.04 × 1,574.37
  4. Step 4: Simplify right side
    4,169.61x = 9,849,313.82
  5. Step 5: Solve for x
    x = 9,849,313.82/4,169.61
  6. Step 6: Final answer
    x = 2,362.17

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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.