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Finding the Fourth Proportional to 3,316.32, 4,974.12 and 976.08

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Solution

The fourth proportional to 3,316.32, 4,974.12 and 976.08 is: 1,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.32 : 4,974.12 = 976.08 : x
  2. Step 2: Convert to fraction form
    3,316.32/4,974.12 = 976.08/x
  3. Step 3: Cross multiply
    3,316.32x = 4,974.12 × 976.08
  4. Step 4: Simplify right side
    3,316.32x = 4,855,139.05
  5. Step 5: Solve for x
    x = 4,855,139.05/3,316.32
  6. Step 6: Final answer
    x = 1,464.01

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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.