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Finding the Fourth Proportional to 5,117.77, 7,674.90 and 1,829.98

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Solution

The fourth proportional to 5,117.77, 7,674.90 and 1,829.98 is: 2,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.77 : 7,674.90 = 1,829.98 : x
  2. Step 2: Convert to fraction form
    5,117.77/7,674.90 = 1,829.98/x
  3. Step 3: Cross multiply
    5,117.77x = 7,674.90 × 1,829.98
  4. Step 4: Simplify right side
    5,117.77x = 14,044,913.50
  5. Step 5: Solve for x
    x = 14,044,913.50/5,117.77
  6. Step 6: Final answer
    x = 2,744.34

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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.