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Finding the Fourth Proportional to 3,703.60, 5,557.59 and 1,365.25

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Solution

The fourth proportional to 3,703.60, 5,557.59 and 1,365.25 is: 2,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.60 : 5,557.59 = 1,365.25 : x
  2. Step 2: Convert to fraction form
    3,703.60/5,557.59 = 1,365.25/x
  3. Step 3: Cross multiply
    3,703.60x = 5,557.59 × 1,365.25
  4. Step 4: Simplify right side
    3,703.60x = 7,587,499.75
  5. Step 5: Solve for x
    x = 7,587,499.75/3,703.60
  6. Step 6: Final answer
    x = 2,048.68

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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.