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Finding the Fourth Proportional to 4,580.36, 6,855.81 and 4,148.76

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Solution

The fourth proportional to 4,580.36, 6,855.81 and 4,148.76 is: 6,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.36 : 6,855.81 = 4,148.76 : x
  2. Step 2: Convert to fraction form
    4,580.36/6,855.81 = 4,148.76/x
  3. Step 3: Cross multiply
    4,580.36x = 6,855.81 × 4,148.76
  4. Step 4: Simplify right side
    4,580.36x = 28,443,120.45
  5. Step 5: Solve for x
    x = 28,443,120.45/4,580.36
  6. Step 6: Final answer
    x = 6,209.80

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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.