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Finding the Fourth Proportional to 3,557.10, 5,335.05 and 959.43

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Solution

The fourth proportional to 3,557.10, 5,335.05 and 959.43 is: 1,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.10 : 5,335.05 = 959.43 : x
  2. Step 2: Convert to fraction form
    3,557.10/5,335.05 = 959.43/x
  3. Step 3: Cross multiply
    3,557.10x = 5,335.05 × 959.43
  4. Step 4: Simplify right side
    3,557.10x = 5,118,607.02
  5. Step 5: Solve for x
    x = 5,118,607.02/3,557.10
  6. Step 6: Final answer
    x = 1,438.98

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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.