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Finding the Fourth Proportional to 4,655.94, 6,983.07 and 1,535.98

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Solution

The fourth proportional to 4,655.94, 6,983.07 and 1,535.98 is: 2,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.94 : 6,983.07 = 1,535.98 : x
  2. Step 2: Convert to fraction form
    4,655.94/6,983.07 = 1,535.98/x
  3. Step 3: Cross multiply
    4,655.94x = 6,983.07 × 1,535.98
  4. Step 4: Simplify right side
    4,655.94x = 10,725,855.86
  5. Step 5: Solve for x
    x = 10,725,855.86/4,655.94
  6. Step 6: Final answer
    x = 2,303.69

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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.