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Finding the Fourth Proportional to 5,302.67, 7,954.16 and 1,407.08

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Solution

The fourth proportional to 5,302.67, 7,954.16 and 1,407.08 is: 2,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.67 : 7,954.16 = 1,407.08 : x
  2. Step 2: Convert to fraction form
    5,302.67/7,954.16 = 1,407.08/x
  3. Step 3: Cross multiply
    5,302.67x = 7,954.16 × 1,407.08
  4. Step 4: Simplify right side
    5,302.67x = 11,192,132.42
  5. Step 5: Solve for x
    x = 11,192,132.42/5,302.67
  6. Step 6: Final answer
    x = 2,110.66

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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.