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Finding the Fourth Proportional to 5,098.34, 7,035.74 and 2,975.34

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Solution

The fourth proportional to 5,098.34, 7,035.74 and 2,975.34 is: 4,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.34 : 7,035.74 = 2,975.34 : x
  2. Step 2: Convert to fraction form
    5,098.34/7,035.74 = 2,975.34/x
  3. Step 3: Cross multiply
    5,098.34x = 7,035.74 × 2,975.34
  4. Step 4: Simplify right side
    5,098.34x = 20,933,703.77
  5. Step 5: Solve for x
    x = 20,933,703.77/5,098.34
  6. Step 6: Final answer
    x = 4,105.99

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1.5x scale

Why These Related Problems?

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