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Finding the Fourth Proportional to 3,785.76, 5,681.09 and 1,594.51

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Solution

The fourth proportional to 3,785.76, 5,681.09 and 1,594.51 is: 2,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.76 : 5,681.09 = 1,594.51 : x
  2. Step 2: Convert to fraction form
    3,785.76/5,681.09 = 1,594.51/x
  3. Step 3: Cross multiply
    3,785.76x = 5,681.09 × 1,594.51
  4. Step 4: Simplify right side
    3,785.76x = 9,058,554.82
  5. Step 5: Solve for x
    x = 9,058,554.82/3,785.76
  6. Step 6: Final answer
    x = 2,392.80

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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.