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Finding the Fourth Proportional to 5,301.95, 7,950.90 and 1,602.95

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Solution

The fourth proportional to 5,301.95, 7,950.90 and 1,602.95 is: 2,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.95 : 7,950.90 = 1,602.95 : x
  2. Step 2: Convert to fraction form
    5,301.95/7,950.90 = 1,602.95/x
  3. Step 3: Cross multiply
    5,301.95x = 7,950.90 × 1,602.95
  4. Step 4: Simplify right side
    5,301.95x = 12,744,895.16
  5. Step 5: Solve for x
    x = 12,744,895.16/5,301.95
  6. Step 6: Final answer
    x = 2,403.81

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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.