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Finding the Fourth Proportional to 5,563.93, 7,678.25 and 3,574.51

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Solution

The fourth proportional to 5,563.93, 7,678.25 and 3,574.51 is: 4,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.93 : 7,678.25 = 3,574.51 : x
  2. Step 2: Convert to fraction form
    5,563.93/7,678.25 = 3,574.51/x
  3. Step 3: Cross multiply
    5,563.93x = 7,678.25 × 3,574.51
  4. Step 4: Simplify right side
    5,563.93x = 27,445,981.41
  5. Step 5: Solve for x
    x = 27,445,981.41/5,563.93
  6. Step 6: Final answer
    x = 4,932.84

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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.