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Finding the Fourth Proportional to 3,345.77, 5,019.13 and 1,266.54

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Solution

The fourth proportional to 3,345.77, 5,019.13 and 1,266.54 is: 1,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.77 : 5,019.13 = 1,266.54 : x
  2. Step 2: Convert to fraction form
    3,345.77/5,019.13 = 1,266.54/x
  3. Step 3: Cross multiply
    3,345.77x = 5,019.13 × 1,266.54
  4. Step 4: Simplify right side
    3,345.77x = 6,356,911.67
  5. Step 5: Solve for x
    x = 6,356,911.67/3,345.77
  6. Step 6: Final answer
    x = 1,899.98

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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.