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Finding the Fourth Proportional to 3,423.68, 4,724.70 and 1,851.77

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Solution

The fourth proportional to 3,423.68, 4,724.70 and 1,851.77 is: 2,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.68 : 4,724.70 = 1,851.77 : x
  2. Step 2: Convert to fraction form
    3,423.68/4,724.70 = 1,851.77/x
  3. Step 3: Cross multiply
    3,423.68x = 4,724.70 × 1,851.77
  4. Step 4: Simplify right side
    3,423.68x = 8,749,057.72
  5. Step 5: Solve for x
    x = 8,749,057.72/3,423.68
  6. Step 6: Final answer
    x = 2,555.45

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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.