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Finding the Fourth Proportional to 5,182.06, 7,775.07 and 1,897.41

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Solution

The fourth proportional to 5,182.06, 7,775.07 and 1,897.41 is: 2,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.06 : 7,775.07 = 1,897.41 : x
  2. Step 2: Convert to fraction form
    5,182.06/7,775.07 = 1,897.41/x
  3. Step 3: Cross multiply
    5,182.06x = 7,775.07 × 1,897.41
  4. Step 4: Simplify right side
    5,182.06x = 14,752,495.57
  5. Step 5: Solve for x
    x = 14,752,495.57/5,182.06
  6. Step 6: Final answer
    x = 2,846.84

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1.5x scale

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.