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Finding the Fourth Proportional to 3,220.47, 4,807.60 and 3,078.63

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Solution

The fourth proportional to 3,220.47, 4,807.60 and 3,078.63 is: 4,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.47 : 4,807.60 = 3,078.63 : x
  2. Step 2: Convert to fraction form
    3,220.47/4,807.60 = 3,078.63/x
  3. Step 3: Cross multiply
    3,220.47x = 4,807.60 × 3,078.63
  4. Step 4: Simplify right side
    3,220.47x = 14,800,813.89
  5. Step 5: Solve for x
    x = 14,800,813.89/3,220.47
  6. Step 6: Final answer
    x = 4,595.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.