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Finding the Fourth Proportional to 4,756.50, 7,135.83 and 1,678.50

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Solution

The fourth proportional to 4,756.50, 7,135.83 and 1,678.50 is: 2,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.50 : 7,135.83 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    4,756.50/7,135.83 = 1,678.50/x
  3. Step 3: Cross multiply
    4,756.50x = 7,135.83 × 1,678.50
  4. Step 4: Simplify right side
    4,756.50x = 11,977,490.66
  5. Step 5: Solve for x
    x = 11,977,490.66/4,756.50
  6. Step 6: Final answer
    x = 2,518.13

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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.