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Finding the Fourth Proportional to 5,827.80, 8,026.38 and 5,719.80

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Solution

The fourth proportional to 5,827.80, 8,026.38 and 5,719.80 is: 7,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.80 : 8,026.38 = 5,719.80 : x
  2. Step 2: Convert to fraction form
    5,827.80/8,026.38 = 5,719.80/x
  3. Step 3: Cross multiply
    5,827.80x = 8,026.38 × 5,719.80
  4. Step 4: Simplify right side
    5,827.80x = 45,909,288.32
  5. Step 5: Solve for x
    x = 45,909,288.32/5,827.80
  6. Step 6: Final answer
    x = 7,877.64

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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.