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Finding the Fourth Proportional to 4,305.04, 5,941.02 and 4,156.05

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Solution

The fourth proportional to 4,305.04, 5,941.02 and 4,156.05 is: 5,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.04 : 5,941.02 = 4,156.05 : x
  2. Step 2: Convert to fraction form
    4,305.04/5,941.02 = 4,156.05/x
  3. Step 3: Cross multiply
    4,305.04x = 5,941.02 × 4,156.05
  4. Step 4: Simplify right side
    4,305.04x = 24,691,176.17
  5. Step 5: Solve for x
    x = 24,691,176.17/4,305.04
  6. Step 6: Final answer
    x = 5,735.41

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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.