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Finding the Fourth Proportional to 5,301.67, 7,952.66 and 1,406.08

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Solution

The fourth proportional to 5,301.67, 7,952.66 and 1,406.08 is: 2,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.67 : 7,952.66 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    5,301.67/7,952.66 = 1,406.08/x
  3. Step 3: Cross multiply
    5,301.67x = 7,952.66 × 1,406.08
  4. Step 4: Simplify right side
    5,301.67x = 11,182,076.17
  5. Step 5: Solve for x
    x = 11,182,076.17/5,301.67
  6. Step 6: Final answer
    x = 2,109.16

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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.