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Finding the Fourth Proportional to 5,263.58, 7,263.76 and 2,905.78

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Solution

The fourth proportional to 5,263.58, 7,263.76 and 2,905.78 is: 4,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.58 : 7,263.76 = 2,905.78 : x
  2. Step 2: Convert to fraction form
    5,263.58/7,263.76 = 2,905.78/x
  3. Step 3: Cross multiply
    5,263.58x = 7,263.76 × 2,905.78
  4. Step 4: Simplify right side
    5,263.58x = 21,106,888.53
  5. Step 5: Solve for x
    x = 21,106,888.53/5,263.58
  6. Step 6: Final answer
    x = 4,009.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.