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Finding the Fourth Proportional to 5,590.77, 8,384.25 and 2,258.13

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Solution

The fourth proportional to 5,590.77, 8,384.25 and 2,258.13 is: 3,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.77 : 8,384.25 = 2,258.13 : x
  2. Step 2: Convert to fraction form
    5,590.77/8,384.25 = 2,258.13/x
  3. Step 3: Cross multiply
    5,590.77x = 8,384.25 × 2,258.13
  4. Step 4: Simplify right side
    5,590.77x = 18,932,726.45
  5. Step 5: Solve for x
    x = 18,932,726.45/5,590.77
  6. Step 6: Final answer
    x = 3,386.43

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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.