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Finding the Fourth Proportional to 4,742.07, 6,543.69 and 2,752.77

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Solution

The fourth proportional to 4,742.07, 6,543.69 and 2,752.77 is: 3,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.07 : 6,543.69 = 2,752.77 : x
  2. Step 2: Convert to fraction form
    4,742.07/6,543.69 = 2,752.77/x
  3. Step 3: Cross multiply
    4,742.07x = 6,543.69 × 2,752.77
  4. Step 4: Simplify right side
    4,742.07x = 18,013,278.54
  5. Step 5: Solve for x
    x = 18,013,278.54/4,742.07
  6. Step 6: Final answer
    x = 3,798.61

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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.