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Finding the Fourth Proportional to 4,690.47, 6,466.71 and 4,034.37

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Solution

The fourth proportional to 4,690.47, 6,466.71 and 4,034.37 is: 5,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.47 : 6,466.71 = 4,034.37 : x
  2. Step 2: Convert to fraction form
    4,690.47/6,466.71 = 4,034.37/x
  3. Step 3: Cross multiply
    4,690.47x = 6,466.71 × 4,034.37
  4. Step 4: Simplify right side
    4,690.47x = 26,089,100.82
  5. Step 5: Solve for x
    x = 26,089,100.82/4,690.47
  6. Step 6: Final answer
    x = 5,562.15

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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.