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Finding the Fourth Proportional to 4,066.34, 5,612.04 and 2,298.50

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Solution

The fourth proportional to 4,066.34, 5,612.04 and 2,298.50 is: 3,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.34 : 5,612.04 = 2,298.50 : x
  2. Step 2: Convert to fraction form
    4,066.34/5,612.04 = 2,298.50/x
  3. Step 3: Cross multiply
    4,066.34x = 5,612.04 × 2,298.50
  4. Step 4: Simplify right side
    4,066.34x = 12,899,273.94
  5. Step 5: Solve for x
    x = 12,899,273.94/4,066.34
  6. Step 6: Final answer
    x = 3,172.21

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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.