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Finding the Fourth Proportional to 3,533.83, 5,333.95 and 3,533.83

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Solution

The fourth proportional to 3,533.83, 5,333.95 and 3,533.83 is: 5,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.83 : 5,333.95 = 3,533.83 : x
  2. Step 2: Convert to fraction form
    3,533.83/5,333.95 = 3,533.83/x
  3. Step 3: Cross multiply
    3,533.83x = 5,333.95 × 3,533.83
  4. Step 4: Simplify right side
    3,533.83x = 18,849,263.61
  5. Step 5: Solve for x
    x = 18,849,263.61/3,533.83
  6. Step 6: Final answer
    x = 5,333.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.