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Finding the Fourth Proportional to 3,566.84, 5,313.61 and 3,406.88

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Solution

The fourth proportional to 3,566.84, 5,313.61 and 3,406.88 is: 5,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.84 : 5,313.61 = 3,406.88 : x
  2. Step 2: Convert to fraction form
    3,566.84/5,313.61 = 3,406.88/x
  3. Step 3: Cross multiply
    3,566.84x = 5,313.61 × 3,406.88
  4. Step 4: Simplify right side
    3,566.84x = 18,102,831.64
  5. Step 5: Solve for x
    x = 18,102,831.64/3,566.84
  6. Step 6: Final answer
    x = 5,075.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.