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Finding the Fourth Proportional to 4,574.84, 6,308.57 and 3,913.88

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Solution

The fourth proportional to 4,574.84, 6,308.57 and 3,913.88 is: 5,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.84 : 6,308.57 = 3,913.88 : x
  2. Step 2: Convert to fraction form
    4,574.84/6,308.57 = 3,913.88/x
  3. Step 3: Cross multiply
    4,574.84x = 6,308.57 × 3,913.88
  4. Step 4: Simplify right side
    4,574.84x = 24,690,966.38
  5. Step 5: Solve for x
    x = 24,690,966.38/4,574.84
  6. Step 6: Final answer
    x = 5,397.12

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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.