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Finding the Fourth Proportional to 4,931.60, 7,396.10 and 2,464.60

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Solution

The fourth proportional to 4,931.60, 7,396.10 and 2,464.60 is: 3,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.60 : 7,396.10 = 2,464.60 : x
  2. Step 2: Convert to fraction form
    4,931.60/7,396.10 = 2,464.60/x
  3. Step 3: Cross multiply
    4,931.60x = 7,396.10 × 2,464.60
  4. Step 4: Simplify right side
    4,931.60x = 18,228,428.06
  5. Step 5: Solve for x
    x = 18,228,428.06/4,931.60
  6. Step 6: Final answer
    x = 3,696.25

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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.