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Finding the Fourth Proportional to 4,600.01, 6,898.86 and 1,313.12

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Solution

The fourth proportional to 4,600.01, 6,898.86 and 1,313.12 is: 1,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.01 : 6,898.86 = 1,313.12 : x
  2. Step 2: Convert to fraction form
    4,600.01/6,898.86 = 1,313.12/x
  3. Step 3: Cross multiply
    4,600.01x = 6,898.86 × 1,313.12
  4. Step 4: Simplify right side
    4,600.01x = 9,058,996.55
  5. Step 5: Solve for x
    x = 9,058,996.55/4,600.01
  6. Step 6: Final answer
    x = 1,969.34

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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.