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Finding the Fourth Proportional to 3,355.09, 5,032.62 and 1,405.90

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Solution

The fourth proportional to 3,355.09, 5,032.62 and 1,405.90 is: 2,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.09 : 5,032.62 = 1,405.90 : x
  2. Step 2: Convert to fraction form
    3,355.09/5,032.62 = 1,405.90/x
  3. Step 3: Cross multiply
    3,355.09x = 5,032.62 × 1,405.90
  4. Step 4: Simplify right side
    3,355.09x = 7,075,360.46
  5. Step 5: Solve for x
    x = 7,075,360.46/3,355.09
  6. Step 6: Final answer
    x = 2,108.84

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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.