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Finding the Fourth Proportional to 3,135.60, 4,703.40 and 2,649.60

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Solution

The fourth proportional to 3,135.60, 4,703.40 and 2,649.60 is: 3,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.60 : 4,703.40 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    3,135.60/4,703.40 = 2,649.60/x
  3. Step 3: Cross multiply
    3,135.60x = 4,703.40 × 2,649.60
  4. Step 4: Simplify right side
    3,135.60x = 12,462,128.64
  5. Step 5: Solve for x
    x = 12,462,128.64/3,135.60
  6. Step 6: Final answer
    x = 3,974.40

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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.