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Finding the Fourth Proportional to 5,624.07, 8,435.90 and 1,728.38

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Solution

The fourth proportional to 5,624.07, 8,435.90 and 1,728.38 is: 2,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.07 : 8,435.90 = 1,728.38 : x
  2. Step 2: Convert to fraction form
    5,624.07/8,435.90 = 1,728.38/x
  3. Step 3: Cross multiply
    5,624.07x = 8,435.90 × 1,728.38
  4. Step 4: Simplify right side
    5,624.07x = 14,580,390.02
  5. Step 5: Solve for x
    x = 14,580,390.02/5,624.07
  6. Step 6: Final answer
    x = 2,592.50

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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.