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Finding the Fourth Proportional to 6,029.70, 9,058.45 and 5,780.59

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Solution

The fourth proportional to 6,029.70, 9,058.45 and 5,780.59 is: 8,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.70 : 9,058.45 = 5,780.59 : x
  2. Step 2: Convert to fraction form
    6,029.70/9,058.45 = 5,780.59/x
  3. Step 3: Cross multiply
    6,029.70x = 9,058.45 × 5,780.59
  4. Step 4: Simplify right side
    6,029.70x = 52,363,185.49
  5. Step 5: Solve for x
    x = 52,363,185.49/6,029.70
  6. Step 6: Final answer
    x = 8,684.21

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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.