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Finding the Fourth Proportional to 3,655.04, 5,479.20 and 1,462.40

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Solution

The fourth proportional to 3,655.04, 5,479.20 and 1,462.40 is: 2,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.04 : 5,479.20 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    3,655.04/5,479.20 = 1,462.40/x
  3. Step 3: Cross multiply
    3,655.04x = 5,479.20 × 1,462.40
  4. Step 4: Simplify right side
    3,655.04x = 8,012,782.08
  5. Step 5: Solve for x
    x = 8,012,782.08/3,655.04
  6. Step 6: Final answer
    x = 2,192.26

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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.