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Finding the Fourth Proportional to 4,653.48, 6,984.33 and 3,923.57

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Solution

The fourth proportional to 4,653.48, 6,984.33 and 3,923.57 is: 5,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.48 : 6,984.33 = 3,923.57 : x
  2. Step 2: Convert to fraction form
    4,653.48/6,984.33 = 3,923.57/x
  3. Step 3: Cross multiply
    4,653.48x = 6,984.33 × 3,923.57
  4. Step 4: Simplify right side
    4,653.48x = 27,403,510.41
  5. Step 5: Solve for x
    x = 27,403,510.41/4,653.48
  6. Step 6: Final answer
    x = 5,888.82

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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.