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Finding the Fourth Proportional to 5,642.76, 7,783.38 and 3,543.24

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Solution

The fourth proportional to 5,642.76, 7,783.38 and 3,543.24 is: 4,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.76 : 7,783.38 = 3,543.24 : x
  2. Step 2: Convert to fraction form
    5,642.76/7,783.38 = 3,543.24/x
  3. Step 3: Cross multiply
    5,642.76x = 7,783.38 × 3,543.24
  4. Step 4: Simplify right side
    5,642.76x = 27,578,383.35
  5. Step 5: Solve for x
    x = 27,578,383.35/5,642.76
  6. Step 6: Final answer
    x = 4,887.39

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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.