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Finding the Fourth Proportional to 5,642.46, 8,461.26 and 2,353.46

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Solution

The fourth proportional to 5,642.46, 8,461.26 and 2,353.46 is: 3,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 8,461.26 = 2,353.46 : x
  2. Step 2: Convert to fraction form
    5,642.46/8,461.26 = 2,353.46/x
  3. Step 3: Cross multiply
    5,642.46x = 8,461.26 × 2,353.46
  4. Step 4: Simplify right side
    5,642.46x = 19,913,194.65
  5. Step 5: Solve for x
    x = 19,913,194.65/5,642.46
  6. Step 6: Final answer
    x = 3,529.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.