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Finding the Fourth Proportional to 5,874.41, 8,812.86 and 1,925.38

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Solution

The fourth proportional to 5,874.41, 8,812.86 and 1,925.38 is: 2,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.41 : 8,812.86 = 1,925.38 : x
  2. Step 2: Convert to fraction form
    5,874.41/8,812.86 = 1,925.38/x
  3. Step 3: Cross multiply
    5,874.41x = 8,812.86 × 1,925.38
  4. Step 4: Simplify right side
    5,874.41x = 16,968,050.70
  5. Step 5: Solve for x
    x = 16,968,050.70/5,874.41
  6. Step 6: Final answer
    x = 2,888.47

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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.