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Finding the Fourth Proportional to 5,282.94, 7,925 and 2,360.86

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Solution

The fourth proportional to 5,282.94, 7,925 and 2,360.86 is: 3,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.94 : 7,925 = 2,360.86 : x
  2. Step 2: Convert to fraction form
    5,282.94/7,925 = 2,360.86/x
  3. Step 3: Cross multiply
    5,282.94x = 7,925 × 2,360.86
  4. Step 4: Simplify right side
    5,282.94x = 18,709,815.50
  5. Step 5: Solve for x
    x = 18,709,815.50/5,282.94
  6. Step 6: Final answer
    x = 3,541.55

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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.