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Finding the Fourth Proportional to 4,605.12, 6,903.76 and 2,006.08

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Solution

The fourth proportional to 4,605.12, 6,903.76 and 2,006.08 is: 3,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.12 : 6,903.76 = 2,006.08 : x
  2. Step 2: Convert to fraction form
    4,605.12/6,903.76 = 2,006.08/x
  3. Step 3: Cross multiply
    4,605.12x = 6,903.76 × 2,006.08
  4. Step 4: Simplify right side
    4,605.12x = 13,849,494.86
  5. Step 5: Solve for x
    x = 13,849,494.86/4,605.12
  6. Step 6: Final answer
    x = 3,007.41

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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.