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Finding the Fourth Proportional to 4,334.97, 6,506.10 and 1,871.63

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Solution

The fourth proportional to 4,334.97, 6,506.10 and 1,871.63 is: 2,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.97 : 6,506.10 = 1,871.63 : x
  2. Step 2: Convert to fraction form
    4,334.97/6,506.10 = 1,871.63/x
  3. Step 3: Cross multiply
    4,334.97x = 6,506.10 × 1,871.63
  4. Step 4: Simplify right side
    4,334.97x = 12,177,011.94
  5. Step 5: Solve for x
    x = 12,177,011.94/4,334.97
  6. Step 6: Final answer
    x = 2,809.02

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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.