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Finding the Fourth Proportional to 3,039.47, 4,559.06 and 3,006.53

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Solution

The fourth proportional to 3,039.47, 4,559.06 and 3,006.53 is: 4,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.47 : 4,559.06 = 3,006.53 : x
  2. Step 2: Convert to fraction form
    3,039.47/4,559.06 = 3,006.53/x
  3. Step 3: Cross multiply
    3,039.47x = 4,559.06 × 3,006.53
  4. Step 4: Simplify right side
    3,039.47x = 13,706,912.83
  5. Step 5: Solve for x
    x = 13,706,912.83/3,039.47
  6. Step 6: Final answer
    x = 4,509.65

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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.