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Finding the Fourth Proportional to 5,402.95, 8,104.89 and 1,507.36

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Solution

The fourth proportional to 5,402.95, 8,104.89 and 1,507.36 is: 2,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.95 : 8,104.89 = 1,507.36 : x
  2. Step 2: Convert to fraction form
    5,402.95/8,104.89 = 1,507.36/x
  3. Step 3: Cross multiply
    5,402.95x = 8,104.89 × 1,507.36
  4. Step 4: Simplify right side
    5,402.95x = 12,216,974.86
  5. Step 5: Solve for x
    x = 12,216,974.86/5,402.95
  6. Step 6: Final answer
    x = 2,261.17

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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.