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Finding the Fourth Proportional to 4,374.54, 6,564.53 and 1,777.48

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Solution

The fourth proportional to 4,374.54, 6,564.53 and 1,777.48 is: 2,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.54 : 6,564.53 = 1,777.48 : x
  2. Step 2: Convert to fraction form
    4,374.54/6,564.53 = 1,777.48/x
  3. Step 3: Cross multiply
    4,374.54x = 6,564.53 × 1,777.48
  4. Step 4: Simplify right side
    4,374.54x = 11,668,294.59
  5. Step 5: Solve for x
    x = 11,668,294.59/4,374.54
  6. Step 6: Final answer
    x = 2,667.32

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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.