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Finding the Fourth Proportional to 4,654.42, 6,984.02 and 2,574.04

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Solution

The fourth proportional to 4,654.42, 6,984.02 and 2,574.04 is: 3,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.42 : 6,984.02 = 2,574.04 : x
  2. Step 2: Convert to fraction form
    4,654.42/6,984.02 = 2,574.04/x
  3. Step 3: Cross multiply
    4,654.42x = 6,984.02 × 2,574.04
  4. Step 4: Simplify right side
    4,654.42x = 17,977,146.84
  5. Step 5: Solve for x
    x = 17,977,146.84/4,654.42
  6. Step 6: Final answer
    x = 3,862.38

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Why These Related Problems?

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