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Finding the Fourth Proportional to 4,661.80, 6,983.58 and 2,473

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Solution

The fourth proportional to 4,661.80, 6,983.58 and 2,473 is: 3,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.80 : 6,983.58 = 2,473 : x
  2. Step 2: Convert to fraction form
    4,661.80/6,983.58 = 2,473/x
  3. Step 3: Cross multiply
    4,661.80x = 6,983.58 × 2,473
  4. Step 4: Simplify right side
    4,661.80x = 17,270,393.34
  5. Step 5: Solve for x
    x = 17,270,393.34/4,661.80
  6. Step 6: Final answer
    x = 3,704.66

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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.