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Finding the Fourth Proportional to 4,693, 6,470.45 and 3,011.44

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Solution

The fourth proportional to 4,693, 6,470.45 and 3,011.44 is: 4,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693 : 6,470.45 = 3,011.44 : x
  2. Step 2: Convert to fraction form
    4,693/6,470.45 = 3,011.44/x
  3. Step 3: Cross multiply
    4,693x = 6,470.45 × 3,011.44
  4. Step 4: Simplify right side
    4,693x = 19,485,371.95
  5. Step 5: Solve for x
    x = 19,485,371.95/4,693
  6. Step 6: Final answer
    x = 4,152.01

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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.