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Finding the Fourth Proportional to 5,815.54, 8,026.21 and 5,657.22

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Solution

The fourth proportional to 5,815.54, 8,026.21 and 5,657.22 is: 7,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.54 : 8,026.21 = 5,657.22 : x
  2. Step 2: Convert to fraction form
    5,815.54/8,026.21 = 5,657.22/x
  3. Step 3: Cross multiply
    5,815.54x = 8,026.21 × 5,657.22
  4. Step 4: Simplify right side
    5,815.54x = 45,406,035.74
  5. Step 5: Solve for x
    x = 45,406,035.74/5,815.54
  6. Step 6: Final answer
    x = 7,807.71

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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.