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Finding the Fourth Proportional to 5,769, 7,957.53 and 3,409.47

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Solution

The fourth proportional to 5,769, 7,957.53 and 3,409.47 is: 4,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769 : 7,957.53 = 3,409.47 : x
  2. Step 2: Convert to fraction form
    5,769/7,957.53 = 3,409.47/x
  3. Step 3: Cross multiply
    5,769x = 7,957.53 × 3,409.47
  4. Step 4: Simplify right side
    5,769x = 27,130,959.81
  5. Step 5: Solve for x
    x = 27,130,959.81/5,769
  6. Step 6: Final answer
    x = 4,702.89

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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.