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Finding the Fourth Proportional to 4,769.76, 6,547.16 and 4,234.08

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Solution

The fourth proportional to 4,769.76, 6,547.16 and 4,234.08 is: 5,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.76 : 6,547.16 = 4,234.08 : x
  2. Step 2: Convert to fraction form
    4,769.76/6,547.16 = 4,234.08/x
  3. Step 3: Cross multiply
    4,769.76x = 6,547.16 × 4,234.08
  4. Step 4: Simplify right side
    4,769.76x = 27,721,199.21
  5. Step 5: Solve for x
    x = 27,721,199.21/4,769.76
  6. Step 6: Final answer
    x = 5,811.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.