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Finding the Fourth Proportional to 5,210.60, 7,813.53 and 1,921.37

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Solution

The fourth proportional to 5,210.60, 7,813.53 and 1,921.37 is: 2,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.60 : 7,813.53 = 1,921.37 : x
  2. Step 2: Convert to fraction form
    5,210.60/7,813.53 = 1,921.37/x
  3. Step 3: Cross multiply
    5,210.60x = 7,813.53 × 1,921.37
  4. Step 4: Simplify right side
    5,210.60x = 15,012,643.07
  5. Step 5: Solve for x
    x = 15,012,643.07/5,210.60
  6. Step 6: Final answer
    x = 2,881.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.