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Finding the Fourth Proportional to 4,693.71, 7,040.54 and 1,406.70

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Solution

The fourth proportional to 4,693.71, 7,040.54 and 1,406.70 is: 2,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.71 : 7,040.54 = 1,406.70 : x
  2. Step 2: Convert to fraction form
    4,693.71/7,040.54 = 1,406.70/x
  3. Step 3: Cross multiply
    4,693.71x = 7,040.54 × 1,406.70
  4. Step 4: Simplify right side
    4,693.71x = 9,903,920.58
  5. Step 5: Solve for x
    x = 9,903,920.58/4,693.71
  6. Step 6: Final answer
    x = 2,110.04

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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.