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Finding the Fourth Proportional to 6,145.66, 8,484.15 and 3,628.54

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Solution

The fourth proportional to 6,145.66, 8,484.15 and 3,628.54 is: 5,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.66 : 8,484.15 = 3,628.54 : x
  2. Step 2: Convert to fraction form
    6,145.66/8,484.15 = 3,628.54/x
  3. Step 3: Cross multiply
    6,145.66x = 8,484.15 × 3,628.54
  4. Step 4: Simplify right side
    6,145.66x = 30,785,077.64
  5. Step 5: Solve for x
    x = 30,785,077.64/6,145.66
  6. Step 6: Final answer
    x = 5,009.24

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