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Finding the Fourth Proportional to 3,534.48, 4,877.44 and 1,962.68

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Solution

The fourth proportional to 3,534.48, 4,877.44 and 1,962.68 is: 2,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.48 : 4,877.44 = 1,962.68 : x
  2. Step 2: Convert to fraction form
    3,534.48/4,877.44 = 1,962.68/x
  3. Step 3: Cross multiply
    3,534.48x = 4,877.44 × 1,962.68
  4. Step 4: Simplify right side
    3,534.48x = 9,572,853.94
  5. Step 5: Solve for x
    x = 9,572,853.94/3,534.48
  6. Step 6: Final answer
    x = 2,708.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.