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Finding the Fourth Proportional to 5,128.49, 7,690.32 and 3,048.77

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Solution

The fourth proportional to 5,128.49, 7,690.32 and 3,048.77 is: 4,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.49 : 7,690.32 = 3,048.77 : x
  2. Step 2: Convert to fraction form
    5,128.49/7,690.32 = 3,048.77/x
  3. Step 3: Cross multiply
    5,128.49x = 7,690.32 × 3,048.77
  4. Step 4: Simplify right side
    5,128.49x = 23,445,978.45
  5. Step 5: Solve for x
    x = 23,445,978.45/5,128.49
  6. Step 6: Final answer
    x = 4,571.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.