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Finding the Fourth Proportional to 5,041.50, 6,957.54 and 2,946.84

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Solution

The fourth proportional to 5,041.50, 6,957.54 and 2,946.84 is: 4,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.50 : 6,957.54 = 2,946.84 : x
  2. Step 2: Convert to fraction form
    5,041.50/6,957.54 = 2,946.84/x
  3. Step 3: Cross multiply
    5,041.50x = 6,957.54 × 2,946.84
  4. Step 4: Simplify right side
    5,041.50x = 20,502,757.17
  5. Step 5: Solve for x
    x = 20,502,757.17/5,041.50
  6. Step 6: Final answer
    x = 4,066.80

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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.