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Finding the Fourth Proportional to 5,707.50, 7,881.73 and 5,396.87

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Solution

The fourth proportional to 5,707.50, 7,881.73 and 5,396.87 is: 7,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.50 : 7,881.73 = 5,396.87 : x
  2. Step 2: Convert to fraction form
    5,707.50/7,881.73 = 5,396.87/x
  3. Step 3: Cross multiply
    5,707.50x = 7,881.73 × 5,396.87
  4. Step 4: Simplify right side
    5,707.50x = 42,536,678.40
  5. Step 5: Solve for x
    x = 42,536,678.40/5,707.50
  6. Step 6: Final answer
    x = 7,452.77

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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.