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Finding the Fourth Proportional to 4,905.76, 7,360.80 and 2,716.08

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Solution

The fourth proportional to 4,905.76, 7,360.80 and 2,716.08 is: 4,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.76 : 7,360.80 = 2,716.08 : x
  2. Step 2: Convert to fraction form
    4,905.76/7,360.80 = 2,716.08/x
  3. Step 3: Cross multiply
    4,905.76x = 7,360.80 × 2,716.08
  4. Step 4: Simplify right side
    4,905.76x = 19,992,521.66
  5. Step 5: Solve for x
    x = 19,992,521.66/4,905.76
  6. Step 6: Final answer
    x = 4,075.32

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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.