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Finding the Fourth Proportional to 5,295.51, 7,308.14 and 3,057.80

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Solution

The fourth proportional to 5,295.51, 7,308.14 and 3,057.80 is: 4,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.51 : 7,308.14 = 3,057.80 : x
  2. Step 2: Convert to fraction form
    5,295.51/7,308.14 = 3,057.80/x
  3. Step 3: Cross multiply
    5,295.51x = 7,308.14 × 3,057.80
  4. Step 4: Simplify right side
    5,295.51x = 22,346,830.49
  5. Step 5: Solve for x
    x = 22,346,830.49/5,295.51
  6. Step 6: Final answer
    x = 4,219.96

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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.