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Finding the Fourth Proportional to 4,594.13, 6,892.10 and 1,672.66

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Solution

The fourth proportional to 4,594.13, 6,892.10 and 1,672.66 is: 2,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.13 : 6,892.10 = 1,672.66 : x
  2. Step 2: Convert to fraction form
    4,594.13/6,892.10 = 1,672.66/x
  3. Step 3: Cross multiply
    4,594.13x = 6,892.10 × 1,672.66
  4. Step 4: Simplify right side
    4,594.13x = 11,528,155.92
  5. Step 5: Solve for x
    x = 11,528,155.92/4,594.13
  6. Step 6: Final answer
    x = 2,509.32

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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.