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Finding the Fourth Proportional to 3,284.38, 4,927.37 and 975.88

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Solution

The fourth proportional to 3,284.38, 4,927.37 and 975.88 is: 1,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.38 : 4,927.37 = 975.88 : x
  2. Step 2: Convert to fraction form
    3,284.38/4,927.37 = 975.88/x
  3. Step 3: Cross multiply
    3,284.38x = 4,927.37 × 975.88
  4. Step 4: Simplify right side
    3,284.38x = 4,808,521.84
  5. Step 5: Solve for x
    x = 4,808,521.84/3,284.38
  6. Step 6: Final answer
    x = 1,464.06

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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.