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Finding the Fourth Proportional to 5,186.76, 7,776.01 and 1,898.02

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Solution

The fourth proportional to 5,186.76, 7,776.01 and 1,898.02 is: 2,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.76 : 7,776.01 = 1,898.02 : x
  2. Step 2: Convert to fraction form
    5,186.76/7,776.01 = 1,898.02/x
  3. Step 3: Cross multiply
    5,186.76x = 7,776.01 × 1,898.02
  4. Step 4: Simplify right side
    5,186.76x = 14,759,022.50
  5. Step 5: Solve for x
    x = 14,759,022.50/5,186.76
  6. Step 6: Final answer
    x = 2,845.52

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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.