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Finding the Fourth Proportional to 5,404.16, 8,106.24 and 2,324

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Solution

The fourth proportional to 5,404.16, 8,106.24 and 2,324 is: 3,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.16 : 8,106.24 = 2,324 : x
  2. Step 2: Convert to fraction form
    5,404.16/8,106.24 = 2,324/x
  3. Step 3: Cross multiply
    5,404.16x = 8,106.24 × 2,324
  4. Step 4: Simplify right side
    5,404.16x = 18,838,901.76
  5. Step 5: Solve for x
    x = 18,838,901.76/5,404.16
  6. Step 6: Final answer
    x = 3,486.00

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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.