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Finding the Fourth Proportional to 5,534.40, 7,637.40 and 3,016.48

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Solution

The fourth proportional to 5,534.40, 7,637.40 and 3,016.48 is: 4,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.40 : 7,637.40 = 3,016.48 : x
  2. Step 2: Convert to fraction form
    5,534.40/7,637.40 = 3,016.48/x
  3. Step 3: Cross multiply
    5,534.40x = 7,637.40 × 3,016.48
  4. Step 4: Simplify right side
    5,534.40x = 23,038,064.35
  5. Step 5: Solve for x
    x = 23,038,064.35/5,534.40
  6. Step 6: Final answer
    x = 4,162.70

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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.