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Finding the Fourth Proportional to 5,925.98, 8,178.90 and 3,407.89

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Solution

The fourth proportional to 5,925.98, 8,178.90 and 3,407.89 is: 4,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.98 : 8,178.90 = 3,407.89 : x
  2. Step 2: Convert to fraction form
    5,925.98/8,178.90 = 3,407.89/x
  3. Step 3: Cross multiply
    5,925.98x = 8,178.90 × 3,407.89
  4. Step 4: Simplify right side
    5,925.98x = 27,872,791.52
  5. Step 5: Solve for x
    x = 27,872,791.52/5,925.98
  6. Step 6: Final answer
    x = 4,703.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.