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Finding the Fourth Proportional to 4,351.65, 6,527.46 and 1,064.70

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Solution

The fourth proportional to 4,351.65, 6,527.46 and 1,064.70 is: 1,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.65 : 6,527.46 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    4,351.65/6,527.46 = 1,064.70/x
  3. Step 3: Cross multiply
    4,351.65x = 6,527.46 × 1,064.70
  4. Step 4: Simplify right side
    4,351.65x = 6,949,786.66
  5. Step 5: Solve for x
    x = 6,949,786.66/4,351.65
  6. Step 6: Final answer
    x = 1,597.05

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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.