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Finding the Fourth Proportional to 4,732.76, 7,100 and 1,957.93

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Solution

The fourth proportional to 4,732.76, 7,100 and 1,957.93 is: 2,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.76 : 7,100 = 1,957.93 : x
  2. Step 2: Convert to fraction form
    4,732.76/7,100 = 1,957.93/x
  3. Step 3: Cross multiply
    4,732.76x = 7,100 × 1,957.93
  4. Step 4: Simplify right side
    4,732.76x = 13,901,303
  5. Step 5: Solve for x
    x = 13,901,303/4,732.76
  6. Step 6: Final answer
    x = 2,937.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.