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Finding the Fourth Proportional to 4,690.39, 7,035.89 and 1,570.27

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Solution

The fourth proportional to 4,690.39, 7,035.89 and 1,570.27 is: 2,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.39 : 7,035.89 = 1,570.27 : x
  2. Step 2: Convert to fraction form
    4,690.39/7,035.89 = 1,570.27/x
  3. Step 3: Cross multiply
    4,690.39x = 7,035.89 × 1,570.27
  4. Step 4: Simplify right side
    4,690.39x = 11,048,221.55
  5. Step 5: Solve for x
    x = 11,048,221.55/4,690.39
  6. Step 6: Final answer
    x = 2,355.50

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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.