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Finding the Fourth Proportional to 5,494.49, 7,580.34 and 3,478.02

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Solution

The fourth proportional to 5,494.49, 7,580.34 and 3,478.02 is: 4,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.49 : 7,580.34 = 3,478.02 : x
  2. Step 2: Convert to fraction form
    5,494.49/7,580.34 = 3,478.02/x
  3. Step 3: Cross multiply
    5,494.49x = 7,580.34 × 3,478.02
  4. Step 4: Simplify right side
    5,494.49x = 26,364,574.13
  5. Step 5: Solve for x
    x = 26,364,574.13/5,494.49
  6. Step 6: Final answer
    x = 4,798.37

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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.