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Finding the Fourth Proportional to 5,339.92, 8,006.10 and 1,828.24

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Solution

The fourth proportional to 5,339.92, 8,006.10 and 1,828.24 is: 2,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.92 : 8,006.10 = 1,828.24 : x
  2. Step 2: Convert to fraction form
    5,339.92/8,006.10 = 1,828.24/x
  3. Step 3: Cross multiply
    5,339.92x = 8,006.10 × 1,828.24
  4. Step 4: Simplify right side
    5,339.92x = 14,637,072.26
  5. Step 5: Solve for x
    x = 14,637,072.26/5,339.92
  6. Step 6: Final answer
    x = 2,741.07

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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.