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Finding the Fourth Proportional to 5,470.29, 7,546.05 and 4,520.46

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Solution

The fourth proportional to 5,470.29, 7,546.05 and 4,520.46 is: 6,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.29 : 7,546.05 = 4,520.46 : x
  2. Step 2: Convert to fraction form
    5,470.29/7,546.05 = 4,520.46/x
  3. Step 3: Cross multiply
    5,470.29x = 7,546.05 × 4,520.46
  4. Step 4: Simplify right side
    5,470.29x = 34,111,617.18
  5. Step 5: Solve for x
    x = 34,111,617.18/5,470.29
  6. Step 6: Final answer
    x = 6,235.80

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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.