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Finding the Fourth Proportional to 5,301.06, 7,952.19 and 1,405.77

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Solution

The fourth proportional to 5,301.06, 7,952.19 and 1,405.77 is: 2,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.06 : 7,952.19 = 1,405.77 : x
  2. Step 2: Convert to fraction form
    5,301.06/7,952.19 = 1,405.77/x
  3. Step 3: Cross multiply
    5,301.06x = 7,952.19 × 1,405.77
  4. Step 4: Simplify right side
    5,301.06x = 11,178,950.14
  5. Step 5: Solve for x
    x = 11,178,950.14/5,301.06
  6. Step 6: Final answer
    x = 2,108.81

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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.