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Finding the Fourth Proportional to 5,645.40, 7,788.05 and 3,656.60

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Solution

The fourth proportional to 5,645.40, 7,788.05 and 3,656.60 is: 5,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.40 : 7,788.05 = 3,656.60 : x
  2. Step 2: Convert to fraction form
    5,645.40/7,788.05 = 3,656.60/x
  3. Step 3: Cross multiply
    5,645.40x = 7,788.05 × 3,656.60
  4. Step 4: Simplify right side
    5,645.40x = 28,477,765.35
  5. Step 5: Solve for x
    x = 28,477,765.35/5,645.40
  6. Step 6: Final answer
    x = 5,044.42

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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.