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Finding the Fourth Proportional to 5,470.12, 8,212.47 and 4,653.64

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Solution

The fourth proportional to 5,470.12, 8,212.47 and 4,653.64 is: 6,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.12 : 8,212.47 = 4,653.64 : x
  2. Step 2: Convert to fraction form
    5,470.12/8,212.47 = 4,653.64/x
  3. Step 3: Cross multiply
    5,470.12x = 8,212.47 × 4,653.64
  4. Step 4: Simplify right side
    5,470.12x = 38,217,878.89
  5. Step 5: Solve for x
    x = 38,217,878.89/5,470.12
  6. Step 6: Final answer
    x = 6,986.66

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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.