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Finding the Fourth Proportional to 5,756.09, 7,943.11 and 3,397.77

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Solution

The fourth proportional to 5,756.09, 7,943.11 and 3,397.77 is: 4,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.09 : 7,943.11 = 3,397.77 : x
  2. Step 2: Convert to fraction form
    5,756.09/7,943.11 = 3,397.77/x
  3. Step 3: Cross multiply
    5,756.09x = 7,943.11 × 3,397.77
  4. Step 4: Simplify right side
    5,756.09x = 26,988,852.37
  5. Step 5: Solve for x
    x = 26,988,852.37/5,756.09
  6. Step 6: Final answer
    x = 4,688.75

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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.