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Finding the Fourth Proportional to 4,570.34, 6,307.08 and 2,474.48

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Solution

The fourth proportional to 4,570.34, 6,307.08 and 2,474.48 is: 3,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.34 : 6,307.08 = 2,474.48 : x
  2. Step 2: Convert to fraction form
    4,570.34/6,307.08 = 2,474.48/x
  3. Step 3: Cross multiply
    4,570.34x = 6,307.08 × 2,474.48
  4. Step 4: Simplify right side
    4,570.34x = 15,606,743.32
  5. Step 5: Solve for x
    x = 15,606,743.32/4,570.34
  6. Step 6: Final answer
    x = 3,414.79

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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.