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Finding the Fourth Proportional to 5,828.29, 8,045.73 and 3,437.45

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Solution

The fourth proportional to 5,828.29, 8,045.73 and 3,437.45 is: 4,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.29 : 8,045.73 = 3,437.45 : x
  2. Step 2: Convert to fraction form
    5,828.29/8,045.73 = 3,437.45/x
  3. Step 3: Cross multiply
    5,828.29x = 8,045.73 × 3,437.45
  4. Step 4: Simplify right side
    5,828.29x = 27,656,784.53
  5. Step 5: Solve for x
    x = 27,656,784.53/5,828.29
  6. Step 6: Final answer
    x = 4,745.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.