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Finding the Fourth Proportional to 4,707.25, 7,062.01 and 1,420.14

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Solution

The fourth proportional to 4,707.25, 7,062.01 and 1,420.14 is: 2,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.25 : 7,062.01 = 1,420.14 : x
  2. Step 2: Convert to fraction form
    4,707.25/7,062.01 = 1,420.14/x
  3. Step 3: Cross multiply
    4,707.25x = 7,062.01 × 1,420.14
  4. Step 4: Simplify right side
    4,707.25x = 10,029,049.95
  5. Step 5: Solve for x
    x = 10,029,049.95/4,707.25
  6. Step 6: Final answer
    x = 2,130.56

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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.