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Finding the Fourth Proportional to 3,607.58, 5,407.68 and 1,413.32

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Solution

The fourth proportional to 3,607.58, 5,407.68 and 1,413.32 is: 2,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.58 : 5,407.68 = 1,413.32 : x
  2. Step 2: Convert to fraction form
    3,607.58/5,407.68 = 1,413.32/x
  3. Step 3: Cross multiply
    3,607.58x = 5,407.68 × 1,413.32
  4. Step 4: Simplify right side
    3,607.58x = 7,642,782.30
  5. Step 5: Solve for x
    x = 7,642,782.30/3,607.58
  6. Step 6: Final answer
    x = 2,118.53

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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.