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Finding the Fourth Proportional to 4,697.22, 6,477.64 and 3,419.88

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Solution

The fourth proportional to 4,697.22, 6,477.64 and 3,419.88 is: 4,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.22 : 6,477.64 = 3,419.88 : x
  2. Step 2: Convert to fraction form
    4,697.22/6,477.64 = 3,419.88/x
  3. Step 3: Cross multiply
    4,697.22x = 6,477.64 × 3,419.88
  4. Step 4: Simplify right side
    4,697.22x = 22,152,751.48
  5. Step 5: Solve for x
    x = 22,152,751.48/4,697.22
  6. Step 6: Final answer
    x = 4,716.14

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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.