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Finding the Fourth Proportional to 5,405.36, 8,108.50 and 1,509.78

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Solution

The fourth proportional to 5,405.36, 8,108.50 and 1,509.78 is: 2,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.36 : 8,108.50 = 1,509.78 : x
  2. Step 2: Convert to fraction form
    5,405.36/8,108.50 = 1,509.78/x
  3. Step 3: Cross multiply
    5,405.36x = 8,108.50 × 1,509.78
  4. Step 4: Simplify right side
    5,405.36x = 12,242,051.13
  5. Step 5: Solve for x
    x = 12,242,051.13/5,405.36
  6. Step 6: Final answer
    x = 2,264.80

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Why These Related Problems?

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