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Finding the Fourth Proportional to 6,490.40, 8,956.75 and 3,658.47

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Solution

The fourth proportional to 6,490.40, 8,956.75 and 3,658.47 is: 5,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.40 : 8,956.75 = 3,658.47 : x
  2. Step 2: Convert to fraction form
    6,490.40/8,956.75 = 3,658.47/x
  3. Step 3: Cross multiply
    6,490.40x = 8,956.75 × 3,658.47
  4. Step 4: Simplify right side
    6,490.40x = 32,767,975.59
  5. Step 5: Solve for x
    x = 32,767,975.59/6,490.40
  6. Step 6: Final answer
    x = 5,048.68

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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.