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Finding the Fourth Proportional to 5,242.84, 7,245.48 and 4,297.12

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Solution

The fourth proportional to 5,242.84, 7,245.48 and 4,297.12 is: 5,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.84 : 7,245.48 = 4,297.12 : x
  2. Step 2: Convert to fraction form
    5,242.84/7,245.48 = 4,297.12/x
  3. Step 3: Cross multiply
    5,242.84x = 7,245.48 × 4,297.12
  4. Step 4: Simplify right side
    5,242.84x = 31,134,697.02
  5. Step 5: Solve for x
    x = 31,134,697.02/5,242.84
  6. Step 6: Final answer
    x = 5,938.52

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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.