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Finding the Fourth Proportional to 3,155.90, 4,736.55 and 1,403.60

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Solution

The fourth proportional to 3,155.90, 4,736.55 and 1,403.60 is: 2,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.90 : 4,736.55 = 1,403.60 : x
  2. Step 2: Convert to fraction form
    3,155.90/4,736.55 = 1,403.60/x
  3. Step 3: Cross multiply
    3,155.90x = 4,736.55 × 1,403.60
  4. Step 4: Simplify right side
    3,155.90x = 6,648,221.58
  5. Step 5: Solve for x
    x = 6,648,221.58/3,155.90
  6. Step 6: Final answer
    x = 2,106.60

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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.