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Finding the Fourth Proportional to 5,210.74, 7,817.39 and 1,513.22

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Solution

The fourth proportional to 5,210.74, 7,817.39 and 1,513.22 is: 2,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.74 : 7,817.39 = 1,513.22 : x
  2. Step 2: Convert to fraction form
    5,210.74/7,817.39 = 1,513.22/x
  3. Step 3: Cross multiply
    5,210.74x = 7,817.39 × 1,513.22
  4. Step 4: Simplify right side
    5,210.74x = 11,829,430.90
  5. Step 5: Solve for x
    x = 11,829,430.90/5,210.74
  6. Step 6: Final answer
    x = 2,270.20

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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.