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Finding the Fourth Proportional to 3,655.16, 5,482.74 and 1,462.35

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Solution

The fourth proportional to 3,655.16, 5,482.74 and 1,462.35 is: 2,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.16 : 5,482.74 = 1,462.35 : x
  2. Step 2: Convert to fraction form
    3,655.16/5,482.74 = 1,462.35/x
  3. Step 3: Cross multiply
    3,655.16x = 5,482.74 × 1,462.35
  4. Step 4: Simplify right side
    3,655.16x = 8,017,684.84
  5. Step 5: Solve for x
    x = 8,017,684.84/3,655.16
  6. Step 6: Final answer
    x = 2,193.53

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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.