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Finding the Fourth Proportional to 5,925.92, 8,877.36 and 5,684

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Solution

The fourth proportional to 5,925.92, 8,877.36 and 5,684 is: 8,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.92 : 8,877.36 = 5,684 : x
  2. Step 2: Convert to fraction form
    5,925.92/8,877.36 = 5,684/x
  3. Step 3: Cross multiply
    5,925.92x = 8,877.36 × 5,684
  4. Step 4: Simplify right side
    5,925.92x = 50,458,914.24
  5. Step 5: Solve for x
    x = 50,458,914.24/5,925.92
  6. Step 6: Final answer
    x = 8,514.95

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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.