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Finding the Fourth Proportional to 4,708.14, 7,062.54 and 1,421.48

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Solution

The fourth proportional to 4,708.14, 7,062.54 and 1,421.48 is: 2,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.14 : 7,062.54 = 1,421.48 : x
  2. Step 2: Convert to fraction form
    4,708.14/7,062.54 = 1,421.48/x
  3. Step 3: Cross multiply
    4,708.14x = 7,062.54 × 1,421.48
  4. Step 4: Simplify right side
    4,708.14x = 10,039,259.36
  5. Step 5: Solve for x
    x = 10,039,259.36/4,708.14
  6. Step 6: Final answer
    x = 2,132.32

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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.