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Finding the Fourth Proportional to 5,188.68, 7,786.10 and 2,070.18

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Solution

The fourth proportional to 5,188.68, 7,786.10 and 2,070.18 is: 3,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.68 : 7,786.10 = 2,070.18 : x
  2. Step 2: Convert to fraction form
    5,188.68/7,786.10 = 2,070.18/x
  3. Step 3: Cross multiply
    5,188.68x = 7,786.10 × 2,070.18
  4. Step 4: Simplify right side
    5,188.68x = 16,118,628.50
  5. Step 5: Solve for x
    x = 16,118,628.50/5,188.68
  6. Step 6: Final answer
    x = 3,106.50

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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.