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Finding the Fourth Proportional to 4,718.05, 6,509.97 and 4,012.74

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Solution

The fourth proportional to 4,718.05, 6,509.97 and 4,012.74 is: 5,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.05 : 6,509.97 = 4,012.74 : x
  2. Step 2: Convert to fraction form
    4,718.05/6,509.97 = 4,012.74/x
  3. Step 3: Cross multiply
    4,718.05x = 6,509.97 × 4,012.74
  4. Step 4: Simplify right side
    4,718.05x = 26,122,817.02
  5. Step 5: Solve for x
    x = 26,122,817.02/4,718.05
  6. Step 6: Final answer
    x = 5,536.79

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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.