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Finding the Fourth Proportional to 5,303.25, 7,947.32 and 2,527.65

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Solution

The fourth proportional to 5,303.25, 7,947.32 and 2,527.65 is: 3,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,947.32 = 2,527.65 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,947.32 = 2,527.65/x
  3. Step 3: Cross multiply
    5,303.25x = 7,947.32 × 2,527.65
  4. Step 4: Simplify right side
    5,303.25x = 20,088,030.76
  5. Step 5: Solve for x
    x = 20,088,030.76/5,303.25
  6. Step 6: Final answer
    x = 3,787.87

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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.