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Finding the Fourth Proportional to 4,871.92, 7,307.88 and 4,522

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Solution

The fourth proportional to 4,871.92, 7,307.88 and 4,522 is: 6,783

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.92 : 7,307.88 = 4,522 : x
  2. Step 2: Convert to fraction form
    4,871.92/7,307.88 = 4,522/x
  3. Step 3: Cross multiply
    4,871.92x = 7,307.88 × 4,522
  4. Step 4: Simplify right side
    4,871.92x = 33,046,233.36
  5. Step 5: Solve for x
    x = 33,046,233.36/4,871.92
  6. Step 6: Final answer
    x = 6,783

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.