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Finding the Fourth Proportional to 4,748.42, 7,122.54 and 1,285.68

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Solution

The fourth proportional to 4,748.42, 7,122.54 and 1,285.68 is: 1,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.42 : 7,122.54 = 1,285.68 : x
  2. Step 2: Convert to fraction form
    4,748.42/7,122.54 = 1,285.68/x
  3. Step 3: Cross multiply
    4,748.42x = 7,122.54 × 1,285.68
  4. Step 4: Simplify right side
    4,748.42x = 9,157,307.23
  5. Step 5: Solve for x
    x = 9,157,307.23/4,748.42
  6. Step 6: Final answer
    x = 1,928.50

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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.