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Finding the Fourth Proportional to 4,697.78, 7,044.46 and 1,735.47

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Solution

The fourth proportional to 4,697.78, 7,044.46 and 1,735.47 is: 2,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.78 : 7,044.46 = 1,735.47 : x
  2. Step 2: Convert to fraction form
    4,697.78/7,044.46 = 1,735.47/x
  3. Step 3: Cross multiply
    4,697.78x = 7,044.46 × 1,735.47
  4. Step 4: Simplify right side
    4,697.78x = 12,225,444.66
  5. Step 5: Solve for x
    x = 12,225,444.66/4,697.78
  6. Step 6: Final answer
    x = 2,602.39

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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.