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Finding the Fourth Proportional to 5,971.34, 8,957.02 and 2,272.72

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Solution

The fourth proportional to 5,971.34, 8,957.02 and 2,272.72 is: 3,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.34 : 8,957.02 = 2,272.72 : x
  2. Step 2: Convert to fraction form
    5,971.34/8,957.02 = 2,272.72/x
  3. Step 3: Cross multiply
    5,971.34x = 8,957.02 × 2,272.72
  4. Step 4: Simplify right side
    5,971.34x = 20,356,798.49
  5. Step 5: Solve for x
    x = 20,356,798.49/5,971.34
  6. Step 6: Final answer
    x = 3,409.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.