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Finding the Fourth Proportional to 6,416.35, 8,854.46 and 3,583.77

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Solution

The fourth proportional to 6,416.35, 8,854.46 and 3,583.77 is: 4,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.35 : 8,854.46 = 3,583.77 : x
  2. Step 2: Convert to fraction form
    6,416.35/8,854.46 = 3,583.77/x
  3. Step 3: Cross multiply
    6,416.35x = 8,854.46 × 3,583.77
  4. Step 4: Simplify right side
    6,416.35x = 31,732,312.80
  5. Step 5: Solve for x
    x = 31,732,312.80/6,416.35
  6. Step 6: Final answer
    x = 4,945.54

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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.