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Finding the Fourth Proportional to 5,184.60, 7,774.74 and 1,721.16

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Solution

The fourth proportional to 5,184.60, 7,774.74 and 1,721.16 is: 2,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.60 : 7,774.74 = 1,721.16 : x
  2. Step 2: Convert to fraction form
    5,184.60/7,774.74 = 1,721.16/x
  3. Step 3: Cross multiply
    5,184.60x = 7,774.74 × 1,721.16
  4. Step 4: Simplify right side
    5,184.60x = 13,381,571.50
  5. Step 5: Solve for x
    x = 13,381,571.50/5,184.60
  6. Step 6: Final answer
    x = 2,581.02

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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.