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Finding the Fourth Proportional to 3,407.48, 5,111.70 and 1,355

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Solution

The fourth proportional to 3,407.48, 5,111.70 and 1,355 is: 2,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.48 : 5,111.70 = 1,355 : x
  2. Step 2: Convert to fraction form
    3,407.48/5,111.70 = 1,355/x
  3. Step 3: Cross multiply
    3,407.48x = 5,111.70 × 1,355
  4. Step 4: Simplify right side
    3,407.48x = 6,926,353.50
  5. Step 5: Solve for x
    x = 6,926,353.50/3,407.48
  6. Step 6: Final answer
    x = 2,032.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.