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Finding the Fourth Proportional to 4,577.34, 6,857.16 and 3,012.63

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Solution

The fourth proportional to 4,577.34, 6,857.16 and 3,012.63 is: 4,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.34 : 6,857.16 = 3,012.63 : x
  2. Step 2: Convert to fraction form
    4,577.34/6,857.16 = 3,012.63/x
  3. Step 3: Cross multiply
    4,577.34x = 6,857.16 × 3,012.63
  4. Step 4: Simplify right side
    4,577.34x = 20,658,085.93
  5. Step 5: Solve for x
    x = 20,658,085.93/4,577.34
  6. Step 6: Final answer
    x = 4,513.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.