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Finding the Fourth Proportional to 4,098.33, 5,655.62 and 2,329.70

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Solution

The fourth proportional to 4,098.33, 5,655.62 and 2,329.70 is: 3,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.33 : 5,655.62 = 2,329.70 : x
  2. Step 2: Convert to fraction form
    4,098.33/5,655.62 = 2,329.70/x
  3. Step 3: Cross multiply
    4,098.33x = 5,655.62 × 2,329.70
  4. Step 4: Simplify right side
    4,098.33x = 13,175,875.46
  5. Step 5: Solve for x
    x = 13,175,875.46/4,098.33
  6. Step 6: Final answer
    x = 3,214.94

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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.