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Finding the Fourth Proportional to 4,731.95, 7,098.14 and 1,400.22

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Solution

The fourth proportional to 4,731.95, 7,098.14 and 1,400.22 is: 2,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.95 : 7,098.14 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    4,731.95/7,098.14 = 1,400.22/x
  3. Step 3: Cross multiply
    4,731.95x = 7,098.14 × 1,400.22
  4. Step 4: Simplify right side
    4,731.95x = 9,938,961.09
  5. Step 5: Solve for x
    x = 9,938,961.09/4,731.95
  6. Step 6: Final answer
    x = 2,100.39

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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.