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Finding the Fourth Proportional to 3,533.92, 5,300.88 and 2,435

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Solution

The fourth proportional to 3,533.92, 5,300.88 and 2,435 is: 3,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.92 : 5,300.88 = 2,435 : x
  2. Step 2: Convert to fraction form
    3,533.92/5,300.88 = 2,435/x
  3. Step 3: Cross multiply
    3,533.92x = 5,300.88 × 2,435
  4. Step 4: Simplify right side
    3,533.92x = 12,907,642.80
  5. Step 5: Solve for x
    x = 12,907,642.80/3,533.92
  6. Step 6: Final answer
    x = 3,652.50

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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.