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Finding the Fourth Proportional to 4,732.68, 7,102.66 and 3,810.48

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Solution

The fourth proportional to 4,732.68, 7,102.66 and 3,810.48 is: 5,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.68 : 7,102.66 = 3,810.48 : x
  2. Step 2: Convert to fraction form
    4,732.68/7,102.66 = 3,810.48/x
  3. Step 3: Cross multiply
    4,732.68x = 7,102.66 × 3,810.48
  4. Step 4: Simplify right side
    4,732.68x = 27,064,543.88
  5. Step 5: Solve for x
    x = 27,064,543.88/4,732.68
  6. Step 6: Final answer
    x = 5,718.65

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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.