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Finding the Fourth Proportional to 4,470.75, 6,703.94 and 1,350.16

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Solution

The fourth proportional to 4,470.75, 6,703.94 and 1,350.16 is: 2,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.75 : 6,703.94 = 1,350.16 : x
  2. Step 2: Convert to fraction form
    4,470.75/6,703.94 = 1,350.16/x
  3. Step 3: Cross multiply
    4,470.75x = 6,703.94 × 1,350.16
  4. Step 4: Simplify right side
    4,470.75x = 9,051,378.25
  5. Step 5: Solve for x
    x = 9,051,378.25/4,470.75
  6. Step 6: Final answer
    x = 2,024.58

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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.