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Finding the Fourth Proportional to 7,572.08, 11,358.12 and 2,954

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Solution

The fourth proportional to 7,572.08, 11,358.12 and 2,954 is: 4,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.08 : 11,358.12 = 2,954 : x
  2. Step 2: Convert to fraction form
    7,572.08/11,358.12 = 2,954/x
  3. Step 3: Cross multiply
    7,572.08x = 11,358.12 × 2,954
  4. Step 4: Simplify right side
    7,572.08x = 33,551,886.48
  5. Step 5: Solve for x
    x = 33,551,886.48/7,572.08
  6. Step 6: Final answer
    x = 4,431.00

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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.