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Finding the Fourth Proportional to 5,830.30, 8,738.13 and 4,592.82

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Solution

The fourth proportional to 5,830.30, 8,738.13 and 4,592.82 is: 6,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.30 : 8,738.13 = 4,592.82 : x
  2. Step 2: Convert to fraction form
    5,830.30/8,738.13 = 4,592.82/x
  3. Step 3: Cross multiply
    5,830.30x = 8,738.13 × 4,592.82
  4. Step 4: Simplify right side
    5,830.30x = 40,132,633.23
  5. Step 5: Solve for x
    x = 40,132,633.23/5,830.30
  6. Step 6: Final answer
    x = 6,883.46

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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.