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Finding the Fourth Proportional to 4,862.90, 7,294.80 and 1,400.06

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Solution

The fourth proportional to 4,862.90, 7,294.80 and 1,400.06 is: 2,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.90 : 7,294.80 = 1,400.06 : x
  2. Step 2: Convert to fraction form
    4,862.90/7,294.80 = 1,400.06/x
  3. Step 3: Cross multiply
    4,862.90x = 7,294.80 × 1,400.06
  4. Step 4: Simplify right side
    4,862.90x = 10,213,157.69
  5. Step 5: Solve for x
    x = 10,213,157.69/4,862.90
  6. Step 6: Final answer
    x = 2,100.22

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