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Finding the Fourth Proportional to 3,333.84, 5,000.70 and 1,142.58

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Solution

The fourth proportional to 3,333.84, 5,000.70 and 1,142.58 is: 1,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.84 : 5,000.70 = 1,142.58 : x
  2. Step 2: Convert to fraction form
    3,333.84/5,000.70 = 1,142.58/x
  3. Step 3: Cross multiply
    3,333.84x = 5,000.70 × 1,142.58
  4. Step 4: Simplify right side
    3,333.84x = 5,713,699.81
  5. Step 5: Solve for x
    x = 5,713,699.81/3,333.84
  6. Step 6: Final answer
    x = 1,713.85

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1.5x scale

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.