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Finding the Fourth Proportional to 3,655.80, 5,483.70 and 1,466.10

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Solution

The fourth proportional to 3,655.80, 5,483.70 and 1,466.10 is: 2,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.80 : 5,483.70 = 1,466.10 : x
  2. Step 2: Convert to fraction form
    3,655.80/5,483.70 = 1,466.10/x
  3. Step 3: Cross multiply
    3,655.80x = 5,483.70 × 1,466.10
  4. Step 4: Simplify right side
    3,655.80x = 8,039,652.57
  5. Step 5: Solve for x
    x = 8,039,652.57/3,655.80
  6. Step 6: Final answer
    x = 2,199.15

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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.