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Finding the Fourth Proportional to 5,545, 7,649.80 and 3,658.69

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Solution

The fourth proportional to 5,545, 7,649.80 and 3,658.69 is: 5,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545 : 7,649.80 = 3,658.69 : x
  2. Step 2: Convert to fraction form
    5,545/7,649.80 = 3,658.69/x
  3. Step 3: Cross multiply
    5,545x = 7,649.80 × 3,658.69
  4. Step 4: Simplify right side
    5,545x = 27,988,246.76
  5. Step 5: Solve for x
    x = 27,988,246.76/5,545
  6. Step 6: Final answer
    x = 5,047.47

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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.