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Finding the Fourth Proportional to 5,670.39, 7,822.41 and 4,883.07

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Solution

The fourth proportional to 5,670.39, 7,822.41 and 4,883.07 is: 6,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.39 : 7,822.41 = 4,883.07 : x
  2. Step 2: Convert to fraction form
    5,670.39/7,822.41 = 4,883.07/x
  3. Step 3: Cross multiply
    5,670.39x = 7,822.41 × 4,883.07
  4. Step 4: Simplify right side
    5,670.39x = 38,197,312.07
  5. Step 5: Solve for x
    x = 38,197,312.07/5,670.39
  6. Step 6: Final answer
    x = 6,736.28

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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.