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Finding the Fourth Proportional to 5,784.13, 8,676.55 and 1,624.48

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Solution

The fourth proportional to 5,784.13, 8,676.55 and 1,624.48 is: 2,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.13 : 8,676.55 = 1,624.48 : x
  2. Step 2: Convert to fraction form
    5,784.13/8,676.55 = 1,624.48/x
  3. Step 3: Cross multiply
    5,784.13x = 8,676.55 × 1,624.48
  4. Step 4: Simplify right side
    5,784.13x = 14,094,862.28
  5. Step 5: Solve for x
    x = 14,094,862.28/5,784.13
  6. Step 6: Final answer
    x = 2,436.82

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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.