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Finding the Fourth Proportional to 3,405.64, 4,699.90 and 1,913.52

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Solution

The fourth proportional to 3,405.64, 4,699.90 and 1,913.52 is: 2,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.64 : 4,699.90 = 1,913.52 : x
  2. Step 2: Convert to fraction form
    3,405.64/4,699.90 = 1,913.52/x
  3. Step 3: Cross multiply
    3,405.64x = 4,699.90 × 1,913.52
  4. Step 4: Simplify right side
    3,405.64x = 8,993,343.08
  5. Step 5: Solve for x
    x = 8,993,343.08/3,405.64
  6. Step 6: Final answer
    x = 2,640.72

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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.