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Finding the Fourth Proportional to 4,984.58, 7,477.42 and 1,697.06

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Solution

The fourth proportional to 4,984.58, 7,477.42 and 1,697.06 is: 2,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.58 : 7,477.42 = 1,697.06 : x
  2. Step 2: Convert to fraction form
    4,984.58/7,477.42 = 1,697.06/x
  3. Step 3: Cross multiply
    4,984.58x = 7,477.42 × 1,697.06
  4. Step 4: Simplify right side
    4,984.58x = 12,689,630.39
  5. Step 5: Solve for x
    x = 12,689,630.39/4,984.58
  6. Step 6: Final answer
    x = 2,545.78

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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.