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Finding the Fourth Proportional to 3,495.96, 4,824.47 and 1,924.08

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Solution

The fourth proportional to 3,495.96, 4,824.47 and 1,924.08 is: 2,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.96 : 4,824.47 = 1,924.08 : x
  2. Step 2: Convert to fraction form
    3,495.96/4,824.47 = 1,924.08/x
  3. Step 3: Cross multiply
    3,495.96x = 4,824.47 × 1,924.08
  4. Step 4: Simplify right side
    3,495.96x = 9,282,656.62
  5. Step 5: Solve for x
    x = 9,282,656.62/3,495.96
  6. Step 6: Final answer
    x = 2,655.25

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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.