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Finding the Fourth Proportional to 3,189.47, 4,779.95 and 1,542.74

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Solution

The fourth proportional to 3,189.47, 4,779.95 and 1,542.74 is: 2,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.47 : 4,779.95 = 1,542.74 : x
  2. Step 2: Convert to fraction form
    3,189.47/4,779.95 = 1,542.74/x
  3. Step 3: Cross multiply
    3,189.47x = 4,779.95 × 1,542.74
  4. Step 4: Simplify right side
    3,189.47x = 7,374,188.45
  5. Step 5: Solve for x
    x = 7,374,188.45/3,189.47
  6. Step 6: Final answer
    x = 2,312.05

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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.