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Finding the Fourth Proportional to 3,674.94, 5,068.47 and 2,966.59

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Solution

The fourth proportional to 3,674.94, 5,068.47 and 2,966.59 is: 4,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.94 : 5,068.47 = 2,966.59 : x
  2. Step 2: Convert to fraction form
    3,674.94/5,068.47 = 2,966.59/x
  3. Step 3: Cross multiply
    3,674.94x = 5,068.47 × 2,966.59
  4. Step 4: Simplify right side
    3,674.94x = 15,036,072.42
  5. Step 5: Solve for x
    x = 15,036,072.42/3,674.94
  6. Step 6: Final answer
    x = 4,091.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.