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Finding the Fourth Proportional to 4,607.76, 6,355.47 and 2,840.34

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Solution

The fourth proportional to 4,607.76, 6,355.47 and 2,840.34 is: 3,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.76 : 6,355.47 = 2,840.34 : x
  2. Step 2: Convert to fraction form
    4,607.76/6,355.47 = 2,840.34/x
  3. Step 3: Cross multiply
    4,607.76x = 6,355.47 × 2,840.34
  4. Step 4: Simplify right side
    4,607.76x = 18,051,695.66
  5. Step 5: Solve for x
    x = 18,051,695.66/4,607.76
  6. Step 6: Final answer
    x = 3,917.67

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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.