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Finding the Fourth Proportional to 4,524.65, 6,784.47 and 1,403.79

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Solution

The fourth proportional to 4,524.65, 6,784.47 and 1,403.79 is: 2,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.65 : 6,784.47 = 1,403.79 : x
  2. Step 2: Convert to fraction form
    4,524.65/6,784.47 = 1,403.79/x
  3. Step 3: Cross multiply
    4,524.65x = 6,784.47 × 1,403.79
  4. Step 4: Simplify right side
    4,524.65x = 9,523,971.14
  5. Step 5: Solve for x
    x = 9,523,971.14/4,524.65
  6. Step 6: Final answer
    x = 2,104.91

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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.