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Finding the Fourth Proportional to 5,303.25, 7,952.88 and 4,260.69

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Solution

The fourth proportional to 5,303.25, 7,952.88 and 4,260.69 is: 6,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,952.88 = 4,260.69 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,952.88 = 4,260.69/x
  3. Step 3: Cross multiply
    5,303.25x = 7,952.88 × 4,260.69
  4. Step 4: Simplify right side
    5,303.25x = 33,884,734.98
  5. Step 5: Solve for x
    x = 33,884,734.98/5,303.25
  6. Step 6: Final answer
    x = 6,389.43

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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.