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Finding the Fourth Proportional to 4,538.98, 6,801.54 and 1,905.06

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Solution

The fourth proportional to 4,538.98, 6,801.54 and 1,905.06 is: 2,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.98 : 6,801.54 = 1,905.06 : x
  2. Step 2: Convert to fraction form
    4,538.98/6,801.54 = 1,905.06/x
  3. Step 3: Cross multiply
    4,538.98x = 6,801.54 × 1,905.06
  4. Step 4: Simplify right side
    4,538.98x = 12,957,341.79
  5. Step 5: Solve for x
    x = 12,957,341.79/4,538.98
  6. Step 6: Final answer
    x = 2,854.68

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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.