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Finding the Fourth Proportional to 3,658.08, 5,048.23 and 2,165.45

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Solution

The fourth proportional to 3,658.08, 5,048.23 and 2,165.45 is: 2,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.08 : 5,048.23 = 2,165.45 : x
  2. Step 2: Convert to fraction form
    3,658.08/5,048.23 = 2,165.45/x
  3. Step 3: Cross multiply
    3,658.08x = 5,048.23 × 2,165.45
  4. Step 4: Simplify right side
    3,658.08x = 10,931,696.86
  5. Step 5: Solve for x
    x = 10,931,696.86/3,658.08
  6. Step 6: Final answer
    x = 2,988.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.