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Finding the Fourth Proportional to 5,954.56, 8,931.10 and 1,572.36

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Solution

The fourth proportional to 5,954.56, 8,931.10 and 1,572.36 is: 2,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.56 : 8,931.10 = 1,572.36 : x
  2. Step 2: Convert to fraction form
    5,954.56/8,931.10 = 1,572.36/x
  3. Step 3: Cross multiply
    5,954.56x = 8,931.10 × 1,572.36
  4. Step 4: Simplify right side
    5,954.56x = 14,042,904.40
  5. Step 5: Solve for x
    x = 14,042,904.40/5,954.56
  6. Step 6: Final answer
    x = 2,358.34

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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.