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Finding the Fourth Proportional to 5,395.60, 8,083.80 and 4,416.40

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Solution

The fourth proportional to 5,395.60, 8,083.80 and 4,416.40 is: 6,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.60 : 8,083.80 = 4,416.40 : x
  2. Step 2: Convert to fraction form
    5,395.60/8,083.80 = 4,416.40/x
  3. Step 3: Cross multiply
    5,395.60x = 8,083.80 × 4,416.40
  4. Step 4: Simplify right side
    5,395.60x = 35,701,294.32
  5. Step 5: Solve for x
    x = 35,701,294.32/5,395.60
  6. Step 6: Final answer
    x = 6,616.74

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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.