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Finding the Fourth Proportional to 5,405.40, 8,108.13 and 1,509.84

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Solution

The fourth proportional to 5,405.40, 8,108.13 and 1,509.84 is: 2,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.40 : 8,108.13 = 1,509.84 : x
  2. Step 2: Convert to fraction form
    5,405.40/8,108.13 = 1,509.84/x
  3. Step 3: Cross multiply
    5,405.40x = 8,108.13 × 1,509.84
  4. Step 4: Simplify right side
    5,405.40x = 12,241,979.00
  5. Step 5: Solve for x
    x = 12,241,979.00/5,405.40
  6. Step 6: Final answer
    x = 2,264.77

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1.5x scale

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.