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Finding the Fourth Proportional to 6,415.35, 8,854.62 and 3,583.74

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Solution

The fourth proportional to 6,415.35, 8,854.62 and 3,583.74 is: 4,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.35 : 8,854.62 = 3,583.74 : x
  2. Step 2: Convert to fraction form
    6,415.35/8,854.62 = 3,583.74/x
  3. Step 3: Cross multiply
    6,415.35x = 8,854.62 × 3,583.74
  4. Step 4: Simplify right side
    6,415.35x = 31,732,655.88
  5. Step 5: Solve for x
    x = 31,732,655.88/6,415.35
  6. Step 6: Final answer
    x = 4,946.36

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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.