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Finding the Fourth Proportional to 5,878.06, 8,819.10 and 3,684.16

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Solution

The fourth proportional to 5,878.06, 8,819.10 and 3,684.16 is: 5,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.06 : 8,819.10 = 3,684.16 : x
  2. Step 2: Convert to fraction form
    5,878.06/8,819.10 = 3,684.16/x
  3. Step 3: Cross multiply
    5,878.06x = 8,819.10 × 3,684.16
  4. Step 4: Simplify right side
    5,878.06x = 32,490,975.46
  5. Step 5: Solve for x
    x = 32,490,975.46/5,878.06
  6. Step 6: Final answer
    x = 5,527.50

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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.