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Finding the Fourth Proportional to 4,600.61, 6,901.98 and 2,004.29

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Solution

The fourth proportional to 4,600.61, 6,901.98 and 2,004.29 is: 3,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.61 : 6,901.98 = 2,004.29 : x
  2. Step 2: Convert to fraction form
    4,600.61/6,901.98 = 2,004.29/x
  3. Step 3: Cross multiply
    4,600.61x = 6,901.98 × 2,004.29
  4. Step 4: Simplify right side
    4,600.61x = 13,833,534.98
  5. Step 5: Solve for x
    x = 13,833,534.98/4,600.61
  6. Step 6: Final answer
    x = 3,006.89

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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.