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Finding the Fourth Proportional to 4,461.84, 6,693.71 and 2,816.46

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Solution

The fourth proportional to 4,461.84, 6,693.71 and 2,816.46 is: 4,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.84 : 6,693.71 = 2,816.46 : x
  2. Step 2: Convert to fraction form
    4,461.84/6,693.71 = 2,816.46/x
  3. Step 3: Cross multiply
    4,461.84x = 6,693.71 × 2,816.46
  4. Step 4: Simplify right side
    4,461.84x = 18,852,552.38
  5. Step 5: Solve for x
    x = 18,852,552.38/4,461.84
  6. Step 6: Final answer
    x = 4,225.29

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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.