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Finding the Fourth Proportional to 3,655.48, 5,485.65 and 1,902.10

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Solution

The fourth proportional to 3,655.48, 5,485.65 and 1,902.10 is: 2,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.48 : 5,485.65 = 1,902.10 : x
  2. Step 2: Convert to fraction form
    3,655.48/5,485.65 = 1,902.10/x
  3. Step 3: Cross multiply
    3,655.48x = 5,485.65 × 1,902.10
  4. Step 4: Simplify right side
    3,655.48x = 10,434,254.87
  5. Step 5: Solve for x
    x = 10,434,254.87/3,655.48
  6. Step 6: Final answer
    x = 2,854.41

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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.