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Finding the Fourth Proportional to 4,707.14, 7,060.70 and 1,420.25

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Solution

The fourth proportional to 4,707.14, 7,060.70 and 1,420.25 is: 2,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.14 : 7,060.70 = 1,420.25 : x
  2. Step 2: Convert to fraction form
    4,707.14/7,060.70 = 1,420.25/x
  3. Step 3: Cross multiply
    4,707.14x = 7,060.70 × 1,420.25
  4. Step 4: Simplify right side
    4,707.14x = 10,027,927.42
  5. Step 5: Solve for x
    x = 10,027,927.42/4,707.14
  6. Step 6: Final answer
    x = 2,130.37

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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.