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Finding the Fourth Proportional to 5,337.62, 8,007.38 and 1,828.01

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Solution

The fourth proportional to 5,337.62, 8,007.38 and 1,828.01 is: 2,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.62 : 8,007.38 = 1,828.01 : x
  2. Step 2: Convert to fraction form
    5,337.62/8,007.38 = 1,828.01/x
  3. Step 3: Cross multiply
    5,337.62x = 8,007.38 × 1,828.01
  4. Step 4: Simplify right side
    5,337.62x = 14,637,570.71
  5. Step 5: Solve for x
    x = 14,637,570.71/5,337.62
  6. Step 6: Final answer
    x = 2,742.34

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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.