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Finding the Fourth Proportional to 3,648.40, 5,032.99 and 2,155.60

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Solution

The fourth proportional to 3,648.40, 5,032.99 and 2,155.60 is: 2,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.40 : 5,032.99 = 2,155.60 : x
  2. Step 2: Convert to fraction form
    3,648.40/5,032.99 = 2,155.60/x
  3. Step 3: Cross multiply
    3,648.40x = 5,032.99 × 2,155.60
  4. Step 4: Simplify right side
    3,648.40x = 10,849,103.36
  5. Step 5: Solve for x
    x = 10,849,103.36/3,648.40
  6. Step 6: Final answer
    x = 2,973.66

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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.