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Finding the Fourth Proportional to 3,534.57, 4,877.58 and 1,962.63

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Solution

The fourth proportional to 3,534.57, 4,877.58 and 1,962.63 is: 2,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.57 : 4,877.58 = 1,962.63 : x
  2. Step 2: Convert to fraction form
    3,534.57/4,877.58 = 1,962.63/x
  3. Step 3: Cross multiply
    3,534.57x = 4,877.58 × 1,962.63
  4. Step 4: Simplify right side
    3,534.57x = 9,572,884.84
  5. Step 5: Solve for x
    x = 9,572,884.84/3,534.57
  6. Step 6: Final answer
    x = 2,708.36

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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.