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Finding the Fourth Proportional to 4,693.06, 7,039.52 and 1,406.01

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Solution

The fourth proportional to 4,693.06, 7,039.52 and 1,406.01 is: 2,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.06 : 7,039.52 = 1,406.01 : x
  2. Step 2: Convert to fraction form
    4,693.06/7,039.52 = 1,406.01/x
  3. Step 3: Cross multiply
    4,693.06x = 7,039.52 × 1,406.01
  4. Step 4: Simplify right side
    4,693.06x = 9,897,635.52
  5. Step 5: Solve for x
    x = 9,897,635.52/4,693.06
  6. Step 6: Final answer
    x = 2,108.99

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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.