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Finding the Fourth Proportional to 5,303.10, 7,952.14 and 1,969.05

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Solution

The fourth proportional to 5,303.10, 7,952.14 and 1,969.05 is: 2,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.10 : 7,952.14 = 1,969.05 : x
  2. Step 2: Convert to fraction form
    5,303.10/7,952.14 = 1,969.05/x
  3. Step 3: Cross multiply
    5,303.10x = 7,952.14 × 1,969.05
  4. Step 4: Simplify right side
    5,303.10x = 15,658,161.27
  5. Step 5: Solve for x
    x = 15,658,161.27/5,303.10
  6. Step 6: Final answer
    x = 2,952.64

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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.