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Finding the Fourth Proportional to 4,732.76, 7,085.74 and 2,506.53

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Solution

The fourth proportional to 4,732.76, 7,085.74 and 2,506.53 is: 3,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.76 : 7,085.74 = 2,506.53 : x
  2. Step 2: Convert to fraction form
    4,732.76/7,085.74 = 2,506.53/x
  3. Step 3: Cross multiply
    4,732.76x = 7,085.74 × 2,506.53
  4. Step 4: Simplify right side
    4,732.76x = 17,760,619.88
  5. Step 5: Solve for x
    x = 17,760,619.88/4,732.76
  6. Step 6: Final answer
    x = 3,752.70

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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.