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Finding the Fourth Proportional to 5,707.62, 7,880.22 and 5,109.08

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Solution

The fourth proportional to 5,707.62, 7,880.22 and 5,109.08 is: 7,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.62 : 7,880.22 = 5,109.08 : x
  2. Step 2: Convert to fraction form
    5,707.62/7,880.22 = 5,109.08/x
  3. Step 3: Cross multiply
    5,707.62x = 7,880.22 × 5,109.08
  4. Step 4: Simplify right side
    5,707.62x = 40,260,635.00
  5. Step 5: Solve for x
    x = 40,260,635.00/5,707.62
  6. Step 6: Final answer
    x = 7,053.84

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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.