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Finding the Fourth Proportional to 5,237.84, 7,230.09 and 3,470.01

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Solution

The fourth proportional to 5,237.84, 7,230.09 and 3,470.01 is: 4,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.84 : 7,230.09 = 3,470.01 : x
  2. Step 2: Convert to fraction form
    5,237.84/7,230.09 = 3,470.01/x
  3. Step 3: Cross multiply
    5,237.84x = 7,230.09 × 3,470.01
  4. Step 4: Simplify right side
    5,237.84x = 25,088,484.60
  5. Step 5: Solve for x
    x = 25,088,484.60/5,237.84
  6. Step 6: Final answer
    x = 4,789.86

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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.