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Finding the Fourth Proportional to 4,473.48, 6,709.62 and 1,186.86

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Solution

The fourth proportional to 4,473.48, 6,709.62 and 1,186.86 is: 1,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.48 : 6,709.62 = 1,186.86 : x
  2. Step 2: Convert to fraction form
    4,473.48/6,709.62 = 1,186.86/x
  3. Step 3: Cross multiply
    4,473.48x = 6,709.62 × 1,186.86
  4. Step 4: Simplify right side
    4,473.48x = 7,963,379.59
  5. Step 5: Solve for x
    x = 7,963,379.59/4,473.48
  6. Step 6: Final answer
    x = 1,780.13

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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.