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Finding the Fourth Proportional to 4,600.02, 6,900.06 and 1,137.30

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Solution

The fourth proportional to 4,600.02, 6,900.06 and 1,137.30 is: 1,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.02 : 6,900.06 = 1,137.30 : x
  2. Step 2: Convert to fraction form
    4,600.02/6,900.06 = 1,137.30/x
  3. Step 3: Cross multiply
    4,600.02x = 6,900.06 × 1,137.30
  4. Step 4: Simplify right side
    4,600.02x = 7,847,438.24
  5. Step 5: Solve for x
    x = 7,847,438.24/4,600.02
  6. Step 6: Final answer
    x = 1,705.96

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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.