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Finding the Fourth Proportional to 5,204.88, 7,808.47 and 1,507.25

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Solution

The fourth proportional to 5,204.88, 7,808.47 and 1,507.25 is: 2,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.88 : 7,808.47 = 1,507.25 : x
  2. Step 2: Convert to fraction form
    5,204.88/7,808.47 = 1,507.25/x
  3. Step 3: Cross multiply
    5,204.88x = 7,808.47 × 1,507.25
  4. Step 4: Simplify right side
    5,204.88x = 11,769,332.16
  5. Step 5: Solve for x
    x = 11,769,332.16/5,204.88
  6. Step 6: Final answer
    x = 2,261.21

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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.