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Finding the Fourth Proportional to 4,594.92, 6,893.53 and 1,475.20

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Solution

The fourth proportional to 4,594.92, 6,893.53 and 1,475.20 is: 2,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.92 : 6,893.53 = 1,475.20 : x
  2. Step 2: Convert to fraction form
    4,594.92/6,893.53 = 1,475.20/x
  3. Step 3: Cross multiply
    4,594.92x = 6,893.53 × 1,475.20
  4. Step 4: Simplify right side
    4,594.92x = 10,169,331.77
  5. Step 5: Solve for x
    x = 10,169,331.77/4,594.92
  6. Step 6: Final answer
    x = 2,213.17

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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.