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Finding the Fourth Proportional to 5,624.80, 7,762.01 and 3,106.86

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Solution

The fourth proportional to 5,624.80, 7,762.01 and 3,106.86 is: 4,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.80 : 7,762.01 = 3,106.86 : x
  2. Step 2: Convert to fraction form
    5,624.80/7,762.01 = 3,106.86/x
  3. Step 3: Cross multiply
    5,624.80x = 7,762.01 × 3,106.86
  4. Step 4: Simplify right side
    5,624.80x = 24,115,478.39
  5. Step 5: Solve for x
    x = 24,115,478.39/5,624.80
  6. Step 6: Final answer
    x = 4,287.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.