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Finding the Fourth Proportional to 3,477.90, 4,800.81 and 2,300.58

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Solution

The fourth proportional to 3,477.90, 4,800.81 and 2,300.58 is: 3,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.90 : 4,800.81 = 2,300.58 : x
  2. Step 2: Convert to fraction form
    3,477.90/4,800.81 = 2,300.58/x
  3. Step 3: Cross multiply
    3,477.90x = 4,800.81 × 2,300.58
  4. Step 4: Simplify right side
    3,477.90x = 11,044,647.47
  5. Step 5: Solve for x
    x = 11,044,647.47/3,477.90
  6. Step 6: Final answer
    x = 3,175.67

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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.