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Finding the Fourth Proportional to 4,123.20, 5,784 and 4,123.20

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Solution

The fourth proportional to 4,123.20, 5,784 and 4,123.20 is: 5,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.20 : 5,784 = 4,123.20 : x
  2. Step 2: Convert to fraction form
    4,123.20/5,784 = 4,123.20/x
  3. Step 3: Cross multiply
    4,123.20x = 5,784 × 4,123.20
  4. Step 4: Simplify right side
    4,123.20x = 23,848,588.80
  5. Step 5: Solve for x
    x = 23,848,588.80/4,123.20
  6. Step 6: Final answer
    x = 5,784

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.