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Finding the Fourth Proportional to 5,210.76, 7,189.07 and 2,971.02

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Solution

The fourth proportional to 5,210.76, 7,189.07 and 2,971.02 is: 4,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.76 : 7,189.07 = 2,971.02 : x
  2. Step 2: Convert to fraction form
    5,210.76/7,189.07 = 2,971.02/x
  3. Step 3: Cross multiply
    5,210.76x = 7,189.07 × 2,971.02
  4. Step 4: Simplify right side
    5,210.76x = 21,358,870.75
  5. Step 5: Solve for x
    x = 21,358,870.75/5,210.76
  6. Step 6: Final answer
    x = 4,098.99

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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.