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Finding the Fourth Proportional to 5,564.13, 7,678.50 and 3,468.25

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Solution

The fourth proportional to 5,564.13, 7,678.50 and 3,468.25 is: 4,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.13 : 7,678.50 = 3,468.25 : x
  2. Step 2: Convert to fraction form
    5,564.13/7,678.50 = 3,468.25/x
  3. Step 3: Cross multiply
    5,564.13x = 7,678.50 × 3,468.25
  4. Step 4: Simplify right side
    5,564.13x = 26,630,957.63
  5. Step 5: Solve for x
    x = 26,630,957.63/5,564.13
  6. Step 6: Final answer
    x = 4,786.19

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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.