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Finding the Fourth Proportional to 5,814.76, 8,024.10 and 3,457.16

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Solution

The fourth proportional to 5,814.76, 8,024.10 and 3,457.16 is: 4,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.76 : 8,024.10 = 3,457.16 : x
  2. Step 2: Convert to fraction form
    5,814.76/8,024.10 = 3,457.16/x
  3. Step 3: Cross multiply
    5,814.76x = 8,024.10 × 3,457.16
  4. Step 4: Simplify right side
    5,814.76x = 27,740,597.56
  5. Step 5: Solve for x
    x = 27,740,597.56/5,814.76
  6. Step 6: Final answer
    x = 4,770.72

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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.