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Finding the Fourth Proportional to 4,758.60, 6,553.26 and 3,430.20

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Solution

The fourth proportional to 4,758.60, 6,553.26 and 3,430.20 is: 4,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.60 : 6,553.26 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    4,758.60/6,553.26 = 3,430.20/x
  3. Step 3: Cross multiply
    4,758.60x = 6,553.26 × 3,430.20
  4. Step 4: Simplify right side
    4,758.60x = 22,478,992.45
  5. Step 5: Solve for x
    x = 22,478,992.45/4,758.60
  6. Step 6: Final answer
    x = 4,723.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.