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Finding the Fourth Proportional to 4,687.31, 7,030.98 and 1,400.33

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Solution

The fourth proportional to 4,687.31, 7,030.98 and 1,400.33 is: 2,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.31 : 7,030.98 = 1,400.33 : x
  2. Step 2: Convert to fraction form
    4,687.31/7,030.98 = 1,400.33/x
  3. Step 3: Cross multiply
    4,687.31x = 7,030.98 × 1,400.33
  4. Step 4: Simplify right side
    4,687.31x = 9,845,657.07
  5. Step 5: Solve for x
    x = 9,845,657.07/4,687.31
  6. Step 6: Final answer
    x = 2,100.49

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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.