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Finding the Fourth Proportional to 5,104.59, 7,655.87 and 1,405.86

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Solution

The fourth proportional to 5,104.59, 7,655.87 and 1,405.86 is: 2,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.59 : 7,655.87 = 1,405.86 : x
  2. Step 2: Convert to fraction form
    5,104.59/7,655.87 = 1,405.86/x
  3. Step 3: Cross multiply
    5,104.59x = 7,655.87 × 1,405.86
  4. Step 4: Simplify right side
    5,104.59x = 10,763,081.40
  5. Step 5: Solve for x
    x = 10,763,081.40/5,104.59
  6. Step 6: Final answer
    x = 2,108.51

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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.