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Finding the Fourth Proportional to 5,769.19, 7,967.33 and 4,970.89

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Solution

The fourth proportional to 5,769.19, 7,967.33 and 4,970.89 is: 6,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.19 : 7,967.33 = 4,970.89 : x
  2. Step 2: Convert to fraction form
    5,769.19/7,967.33 = 4,970.89/x
  3. Step 3: Cross multiply
    5,769.19x = 7,967.33 × 4,970.89
  4. Step 4: Simplify right side
    5,769.19x = 39,604,721.02
  5. Step 5: Solve for x
    x = 39,604,721.02/5,769.19
  6. Step 6: Final answer
    x = 6,864.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.