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Finding the Fourth Proportional to 3,572, 5,358.16 and 1,232

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Solution

The fourth proportional to 3,572, 5,358.16 and 1,232 is: 1,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572 : 5,358.16 = 1,232 : x
  2. Step 2: Convert to fraction form
    3,572/5,358.16 = 1,232/x
  3. Step 3: Cross multiply
    3,572x = 5,358.16 × 1,232
  4. Step 4: Simplify right side
    3,572x = 6,601,253.12
  5. Step 5: Solve for x
    x = 6,601,253.12/3,572
  6. Step 6: Final answer
    x = 1,848.06

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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.