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Finding the Fourth Proportional to 5,130.19, 7,697.16 and 2,169.37

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Solution

The fourth proportional to 5,130.19, 7,697.16 and 2,169.37 is: 3,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.19 : 7,697.16 = 2,169.37 : x
  2. Step 2: Convert to fraction form
    5,130.19/7,697.16 = 2,169.37/x
  3. Step 3: Cross multiply
    5,130.19x = 7,697.16 × 2,169.37
  4. Step 4: Simplify right side
    5,130.19x = 16,697,987.99
  5. Step 5: Solve for x
    x = 16,697,987.99/5,130.19
  6. Step 6: Final answer
    x = 3,254.85

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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.