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Finding the Fourth Proportional to 5,054.88, 7,580.79 and 1,677.00

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Solution

The fourth proportional to 5,054.88, 7,580.79 and 1,677.00 is: 2,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.88 : 7,580.79 = 1,677.00 : x
  2. Step 2: Convert to fraction form
    5,054.88/7,580.79 = 1,677.00/x
  3. Step 3: Cross multiply
    5,054.88x = 7,580.79 × 1,677.00
  4. Step 4: Simplify right side
    5,054.88x = 12,713,013.26
  5. Step 5: Solve for x
    x = 12,713,013.26/5,054.88
  6. Step 6: Final answer
    x = 2,515.00

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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.