Home / 5,142.42-7,708.77-1,854.63

Finding the Fourth Proportional to 5,142.42, 7,708.77 and 1,854.63

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Solution

The fourth proportional to 5,142.42, 7,708.77 and 1,854.63 is: 2,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.42 : 7,708.77 = 1,854.63 : x
  2. Step 2: Convert to fraction form
    5,142.42/7,708.77 = 1,854.63/x
  3. Step 3: Cross multiply
    5,142.42x = 7,708.77 × 1,854.63
  4. Step 4: Simplify right side
    5,142.42x = 14,296,916.11
  5. Step 5: Solve for x
    x = 14,296,916.11/5,142.42
  6. Step 6: Final answer
    x = 2,780.19

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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.