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Finding the Fourth Proportional to 4,232, 5,833.12 and 2,970.56

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Solution

The fourth proportional to 4,232, 5,833.12 and 2,970.56 is: 4,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232 : 5,833.12 = 2,970.56 : x
  2. Step 2: Convert to fraction form
    4,232/5,833.12 = 2,970.56/x
  3. Step 3: Cross multiply
    4,232x = 5,833.12 × 2,970.56
  4. Step 4: Simplify right side
    4,232x = 17,327,632.95
  5. Step 5: Solve for x
    x = 17,327,632.95/4,232
  6. Step 6: Final answer
    x = 4,094.43

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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.