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Finding the Fourth Proportional to 4,732.66, 7,094.86 and 1,957.60

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Solution

The fourth proportional to 4,732.66, 7,094.86 and 1,957.60 is: 2,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.66 : 7,094.86 = 1,957.60 : x
  2. Step 2: Convert to fraction form
    4,732.66/7,094.86 = 1,957.60/x
  3. Step 3: Cross multiply
    4,732.66x = 7,094.86 × 1,957.60
  4. Step 4: Simplify right side
    4,732.66x = 13,888,897.94
  5. Step 5: Solve for x
    x = 13,888,897.94/4,732.66
  6. Step 6: Final answer
    x = 2,934.69

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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.