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Finding the Fourth Proportional to 4,005.70, 6,000.59 and 3,135.94

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Solution

The fourth proportional to 4,005.70, 6,000.59 and 3,135.94 is: 4,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.70 : 6,000.59 = 3,135.94 : x
  2. Step 2: Convert to fraction form
    4,005.70/6,000.59 = 3,135.94/x
  3. Step 3: Cross multiply
    4,005.70x = 6,000.59 × 3,135.94
  4. Step 4: Simplify right side
    4,005.70x = 18,817,490.20
  5. Step 5: Solve for x
    x = 18,817,490.20/4,005.70
  6. Step 6: Final answer
    x = 4,697.68

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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.