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Finding the Fourth Proportional to 5,417.72, 7,471.98 and 3,648.60

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Solution

The fourth proportional to 5,417.72, 7,471.98 and 3,648.60 is: 5,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.72 : 7,471.98 = 3,648.60 : x
  2. Step 2: Convert to fraction form
    5,417.72/7,471.98 = 3,648.60/x
  3. Step 3: Cross multiply
    5,417.72x = 7,471.98 × 3,648.60
  4. Step 4: Simplify right side
    5,417.72x = 27,262,266.23
  5. Step 5: Solve for x
    x = 27,262,266.23/5,417.72
  6. Step 6: Final answer
    x = 5,032.06

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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.