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Finding the Fourth Proportional to 5,624.96, 8,435.01 and 1,927.55

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Solution

The fourth proportional to 5,624.96, 8,435.01 and 1,927.55 is: 2,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.96 : 8,435.01 = 1,927.55 : x
  2. Step 2: Convert to fraction form
    5,624.96/8,435.01 = 1,927.55/x
  3. Step 3: Cross multiply
    5,624.96x = 8,435.01 × 1,927.55
  4. Step 4: Simplify right side
    5,624.96x = 16,258,924.61
  5. Step 5: Solve for x
    x = 16,258,924.61/5,624.96
  6. Step 6: Final answer
    x = 2,890.50

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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.