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Finding the Fourth Proportional to 3,336, 4,603.68 and 1,864

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Solution

The fourth proportional to 3,336, 4,603.68 and 1,864 is: 2,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336 : 4,603.68 = 1,864 : x
  2. Step 2: Convert to fraction form
    3,336/4,603.68 = 1,864/x
  3. Step 3: Cross multiply
    3,336x = 4,603.68 × 1,864
  4. Step 4: Simplify right side
    3,336x = 8,581,259.52
  5. Step 5: Solve for x
    x = 8,581,259.52/3,336
  6. Step 6: Final answer
    x = 2,572.32

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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.