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Finding the Fourth Proportional to 5,429.79, 7,484.37 and 3,658.32

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Solution

The fourth proportional to 5,429.79, 7,484.37 and 3,658.32 is: 5,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.79 : 7,484.37 = 3,658.32 : x
  2. Step 2: Convert to fraction form
    5,429.79/7,484.37 = 3,658.32/x
  3. Step 3: Cross multiply
    5,429.79x = 7,484.37 × 3,658.32
  4. Step 4: Simplify right side
    5,429.79x = 27,380,220.46
  5. Step 5: Solve for x
    x = 27,380,220.46/5,429.79
  6. Step 6: Final answer
    x = 5,042.59

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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.