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Finding the Fourth Proportional to 4,266.33, 6,400.16 and 1,492.93

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Solution

The fourth proportional to 4,266.33, 6,400.16 and 1,492.93 is: 2,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.33 : 6,400.16 = 1,492.93 : x
  2. Step 2: Convert to fraction form
    4,266.33/6,400.16 = 1,492.93/x
  3. Step 3: Cross multiply
    4,266.33x = 6,400.16 × 1,492.93
  4. Step 4: Simplify right side
    4,266.33x = 9,554,994.60
  5. Step 5: Solve for x
    x = 9,554,994.60/4,266.33
  6. Step 6: Final answer
    x = 2,239.63

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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.