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Finding the Fourth Proportional to 4,602.28, 6,901.98 and 2,004.52

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Solution

The fourth proportional to 4,602.28, 6,901.98 and 2,004.52 is: 3,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.28 : 6,901.98 = 2,004.52 : x
  2. Step 2: Convert to fraction form
    4,602.28/6,901.98 = 2,004.52/x
  3. Step 3: Cross multiply
    4,602.28x = 6,901.98 × 2,004.52
  4. Step 4: Simplify right side
    4,602.28x = 13,835,156.95
  5. Step 5: Solve for x
    x = 13,835,156.95/4,602.28
  6. Step 6: Final answer
    x = 3,006.15

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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.