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Finding the Fourth Proportional to 4,690.98, 6,470.48 and 3,009.72

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Solution

The fourth proportional to 4,690.98, 6,470.48 and 3,009.72 is: 4,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.98 : 6,470.48 = 3,009.72 : x
  2. Step 2: Convert to fraction form
    4,690.98/6,470.48 = 3,009.72/x
  3. Step 3: Cross multiply
    4,690.98x = 6,470.48 × 3,009.72
  4. Step 4: Simplify right side
    4,690.98x = 19,474,333.07
  5. Step 5: Solve for x
    x = 19,474,333.07/4,690.98
  6. Step 6: Final answer
    x = 4,151.44

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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.