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Finding the Fourth Proportional to 5,804.86, 8,014.88 and 3,569.74

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Solution

The fourth proportional to 5,804.86, 8,014.88 and 3,569.74 is: 4,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.86 : 8,014.88 = 3,569.74 : x
  2. Step 2: Convert to fraction form
    5,804.86/8,014.88 = 3,569.74/x
  3. Step 3: Cross multiply
    5,804.86x = 8,014.88 × 3,569.74
  4. Step 4: Simplify right side
    5,804.86x = 28,611,019.88
  5. Step 5: Solve for x
    x = 28,611,019.88/5,804.86
  6. Step 6: Final answer
    x = 4,928.80

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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.