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Finding the Fourth Proportional to 4,674.39, 7,011.72 and 1,752.14

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Solution

The fourth proportional to 4,674.39, 7,011.72 and 1,752.14 is: 2,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.39 : 7,011.72 = 1,752.14 : x
  2. Step 2: Convert to fraction form
    4,674.39/7,011.72 = 1,752.14/x
  3. Step 3: Cross multiply
    4,674.39x = 7,011.72 × 1,752.14
  4. Step 4: Simplify right side
    4,674.39x = 12,285,480.02
  5. Step 5: Solve for x
    x = 12,285,480.02/4,674.39
  6. Step 6: Final answer
    x = 2,628.25

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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.