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Finding the Fourth Proportional to 4,538.84, 6,802.56 and 1,938.72

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Solution

The fourth proportional to 4,538.84, 6,802.56 and 1,938.72 is: 2,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.84 : 6,802.56 = 1,938.72 : x
  2. Step 2: Convert to fraction form
    4,538.84/6,802.56 = 1,938.72/x
  3. Step 3: Cross multiply
    4,538.84x = 6,802.56 × 1,938.72
  4. Step 4: Simplify right side
    4,538.84x = 13,188,259.12
  5. Step 5: Solve for x
    x = 13,188,259.12/4,538.84
  6. Step 6: Final answer
    x = 2,905.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.