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Finding the Fourth Proportional to 3,605.60, 4,976.32 and 2,114.40

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Solution

The fourth proportional to 3,605.60, 4,976.32 and 2,114.40 is: 2,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.60 : 4,976.32 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    3,605.60/4,976.32 = 2,114.40/x
  3. Step 3: Cross multiply
    3,605.60x = 4,976.32 × 2,114.40
  4. Step 4: Simplify right side
    3,605.60x = 10,521,931.01
  5. Step 5: Solve for x
    x = 10,521,931.01/3,605.60
  6. Step 6: Final answer
    x = 2,918.22

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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.