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Finding the Fourth Proportional to 5,646.50, 7,792.98 and 3,289.40

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Solution

The fourth proportional to 5,646.50, 7,792.98 and 3,289.40 is: 4,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.50 : 7,792.98 = 3,289.40 : x
  2. Step 2: Convert to fraction form
    5,646.50/7,792.98 = 3,289.40/x
  3. Step 3: Cross multiply
    5,646.50x = 7,792.98 × 3,289.40
  4. Step 4: Simplify right side
    5,646.50x = 25,634,228.41
  5. Step 5: Solve for x
    x = 25,634,228.41/5,646.50
  6. Step 6: Final answer
    x = 4,539.84

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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.