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Finding the Fourth Proportional to 4,690.78, 6,470.24 and 3,009.53

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Solution

The fourth proportional to 4,690.78, 6,470.24 and 3,009.53 is: 4,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.78 : 6,470.24 = 3,009.53 : x
  2. Step 2: Convert to fraction form
    4,690.78/6,470.24 = 3,009.53/x
  3. Step 3: Cross multiply
    4,690.78x = 6,470.24 × 3,009.53
  4. Step 4: Simplify right side
    4,690.78x = 19,472,382.52
  5. Step 5: Solve for x
    x = 19,472,382.52/4,690.78
  6. Step 6: Final answer
    x = 4,151.21

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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.