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Finding the Fourth Proportional to 5,209.75, 7,188.03 and 2,970.81

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Solution

The fourth proportional to 5,209.75, 7,188.03 and 2,970.81 is: 4,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.75 : 7,188.03 = 2,970.81 : x
  2. Step 2: Convert to fraction form
    5,209.75/7,188.03 = 2,970.81/x
  3. Step 3: Cross multiply
    5,209.75x = 7,188.03 × 2,970.81
  4. Step 4: Simplify right side
    5,209.75x = 21,354,271.40
  5. Step 5: Solve for x
    x = 21,354,271.40/5,209.75
  6. Step 6: Final answer
    x = 4,098.91

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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.