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Finding the Fourth Proportional to 5,964.84, 8,931.24 and 3,878.64

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Solution

The fourth proportional to 5,964.84, 8,931.24 and 3,878.64 is: 5,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.84 : 8,931.24 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    5,964.84/8,931.24 = 3,878.64/x
  3. Step 3: Cross multiply
    5,964.84x = 8,931.24 × 3,878.64
  4. Step 4: Simplify right side
    5,964.84x = 34,641,064.71
  5. Step 5: Solve for x
    x = 34,641,064.71/5,964.84
  6. Step 6: Final answer
    x = 5,807.54

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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.