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Finding the Fourth Proportional to 4,693.64, 7,040.46 and 1,406.66

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Solution

The fourth proportional to 4,693.64, 7,040.46 and 1,406.66 is: 2,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.64 : 7,040.46 = 1,406.66 : x
  2. Step 2: Convert to fraction form
    4,693.64/7,040.46 = 1,406.66/x
  3. Step 3: Cross multiply
    4,693.64x = 7,040.46 × 1,406.66
  4. Step 4: Simplify right side
    4,693.64x = 9,903,533.46
  5. Step 5: Solve for x
    x = 9,903,533.46/4,693.64
  6. Step 6: Final answer
    x = 2,109.99

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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.