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Finding the Fourth Proportional to 4,768.76, 7,153.82 and 1,482.14

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Solution

The fourth proportional to 4,768.76, 7,153.82 and 1,482.14 is: 2,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.76 : 7,153.82 = 1,482.14 : x
  2. Step 2: Convert to fraction form
    4,768.76/7,153.82 = 1,482.14/x
  3. Step 3: Cross multiply
    4,768.76x = 7,153.82 × 1,482.14
  4. Step 4: Simplify right side
    4,768.76x = 10,602,962.77
  5. Step 5: Solve for x
    x = 10,602,962.77/4,768.76
  6. Step 6: Final answer
    x = 2,223.42

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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.