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Finding the Fourth Proportional to 3,478.47, 4,797.50 and 3,057.93

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Solution

The fourth proportional to 3,478.47, 4,797.50 and 3,057.93 is: 4,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.47 : 4,797.50 = 3,057.93 : x
  2. Step 2: Convert to fraction form
    3,478.47/4,797.50 = 3,057.93/x
  3. Step 3: Cross multiply
    3,478.47x = 4,797.50 × 3,057.93
  4. Step 4: Simplify right side
    3,478.47x = 14,670,403.89
  5. Step 5: Solve for x
    x = 14,670,403.89/3,478.47
  6. Step 6: Final answer
    x = 4,217.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.