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Finding the Fourth Proportional to 4,627.49, 6,941.77 and 4,627.49

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Solution

The fourth proportional to 4,627.49, 6,941.77 and 4,627.49 is: 6,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.49 : 6,941.77 = 4,627.49 : x
  2. Step 2: Convert to fraction form
    4,627.49/6,941.77 = 4,627.49/x
  3. Step 3: Cross multiply
    4,627.49x = 6,941.77 × 4,627.49
  4. Step 4: Simplify right side
    4,627.49x = 32,122,924.98
  5. Step 5: Solve for x
    x = 32,122,924.98/4,627.49
  6. Step 6: Final answer
    x = 6,941.77

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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.