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Finding the Fourth Proportional to 5,564.33, 7,637.86 and 4,920.76

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Solution

The fourth proportional to 5,564.33, 7,637.86 and 4,920.76 is: 6,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.33 : 7,637.86 = 4,920.76 : x
  2. Step 2: Convert to fraction form
    5,564.33/7,637.86 = 4,920.76/x
  3. Step 3: Cross multiply
    5,564.33x = 7,637.86 × 4,920.76
  4. Step 4: Simplify right side
    5,564.33x = 37,584,075.97
  5. Step 5: Solve for x
    x = 37,584,075.97/5,564.33
  6. Step 6: Final answer
    x = 6,754.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.