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Finding the Fourth Proportional to 5,435.12, 7,500.32 and 3,572

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Solution

The fourth proportional to 5,435.12, 7,500.32 and 3,572 is: 4,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.12 : 7,500.32 = 3,572 : x
  2. Step 2: Convert to fraction form
    5,435.12/7,500.32 = 3,572/x
  3. Step 3: Cross multiply
    5,435.12x = 7,500.32 × 3,572
  4. Step 4: Simplify right side
    5,435.12x = 26,791,143.04
  5. Step 5: Solve for x
    x = 26,791,143.04/5,435.12
  6. Step 6: Final answer
    x = 4,929.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.