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Finding the Fourth Proportional to 3,774.68, 5,205.90 and 2,430.54

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Solution

The fourth proportional to 3,774.68, 5,205.90 and 2,430.54 is: 3,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.68 : 5,205.90 = 2,430.54 : x
  2. Step 2: Convert to fraction form
    3,774.68/5,205.90 = 2,430.54/x
  3. Step 3: Cross multiply
    3,774.68x = 5,205.90 × 2,430.54
  4. Step 4: Simplify right side
    3,774.68x = 12,653,122.16
  5. Step 5: Solve for x
    x = 12,653,122.16/3,774.68
  6. Step 6: Final answer
    x = 3,352.10

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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.