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Finding the Fourth Proportional to 3,484.93, 5,223.34 and 1,730.74

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Solution

The fourth proportional to 3,484.93, 5,223.34 and 1,730.74 is: 2,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.93 : 5,223.34 = 1,730.74 : x
  2. Step 2: Convert to fraction form
    3,484.93/5,223.34 = 1,730.74/x
  3. Step 3: Cross multiply
    3,484.93x = 5,223.34 × 1,730.74
  4. Step 4: Simplify right side
    3,484.93x = 9,040,243.47
  5. Step 5: Solve for x
    x = 9,040,243.47/3,484.93
  6. Step 6: Final answer
    x = 2,594.10

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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.