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Finding the Fourth Proportional to 5,182.50, 7,774.98 and 1,719.75

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Solution

The fourth proportional to 5,182.50, 7,774.98 and 1,719.75 is: 2,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.50 : 7,774.98 = 1,719.75 : x
  2. Step 2: Convert to fraction form
    5,182.50/7,774.98 = 1,719.75/x
  3. Step 3: Cross multiply
    5,182.50x = 7,774.98 × 1,719.75
  4. Step 4: Simplify right side
    5,182.50x = 13,371,021.86
  5. Step 5: Solve for x
    x = 13,371,021.86/5,182.50
  6. Step 6: Final answer
    x = 2,580.03

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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.