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Finding the Fourth Proportional to 7,642.58, 10,546.72 and 4,285.39

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Solution

The fourth proportional to 7,642.58, 10,546.72 and 4,285.39 is: 5,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.58 : 10,546.72 = 4,285.39 : x
  2. Step 2: Convert to fraction form
    7,642.58/10,546.72 = 4,285.39/x
  3. Step 3: Cross multiply
    7,642.58x = 10,546.72 × 4,285.39
  4. Step 4: Simplify right side
    7,642.58x = 45,196,808.42
  5. Step 5: Solve for x
    x = 45,196,808.42/7,642.58
  6. Step 6: Final answer
    x = 5,913.82

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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.