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Finding the Fourth Proportional to 5,303.06, 7,320.96 and 3,738.14

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Solution

The fourth proportional to 5,303.06, 7,320.96 and 3,738.14 is: 5,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.06 : 7,320.96 = 3,738.14 : x
  2. Step 2: Convert to fraction form
    5,303.06/7,320.96 = 3,738.14/x
  3. Step 3: Cross multiply
    5,303.06x = 7,320.96 × 3,738.14
  4. Step 4: Simplify right side
    5,303.06x = 27,366,736.81
  5. Step 5: Solve for x
    x = 27,366,736.81/5,303.06
  6. Step 6: Final answer
    x = 5,160.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.