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Finding the Fourth Proportional to 5,178.48, 7,776.36 and 3,402.48

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Solution

The fourth proportional to 5,178.48, 7,776.36 and 3,402.48 is: 5,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.48 : 7,776.36 = 3,402.48 : x
  2. Step 2: Convert to fraction form
    5,178.48/7,776.36 = 3,402.48/x
  3. Step 3: Cross multiply
    5,178.48x = 7,776.36 × 3,402.48
  4. Step 4: Simplify right side
    5,178.48x = 26,458,909.37
  5. Step 5: Solve for x
    x = 26,458,909.37/5,178.48
  6. Step 6: Final answer
    x = 5,109.40

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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.