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Finding the Fourth Proportional to 5,899.93, 8,142.70 and 5,401.68

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Solution

The fourth proportional to 5,899.93, 8,142.70 and 5,401.68 is: 7,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.93 : 8,142.70 = 5,401.68 : x
  2. Step 2: Convert to fraction form
    5,899.93/8,142.70 = 5,401.68/x
  3. Step 3: Cross multiply
    5,899.93x = 8,142.70 × 5,401.68
  4. Step 4: Simplify right side
    5,899.93x = 43,984,259.74
  5. Step 5: Solve for x
    x = 43,984,259.74/5,899.93
  6. Step 6: Final answer
    x = 7,455.05

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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.