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Finding the Fourth Proportional to 4,312.94, 5,948.19 and 3,644.02

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Solution

The fourth proportional to 4,312.94, 5,948.19 and 3,644.02 is: 5,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.94 : 5,948.19 = 3,644.02 : x
  2. Step 2: Convert to fraction form
    4,312.94/5,948.19 = 3,644.02/x
  3. Step 3: Cross multiply
    4,312.94x = 5,948.19 × 3,644.02
  4. Step 4: Simplify right side
    4,312.94x = 21,675,330.76
  5. Step 5: Solve for x
    x = 21,675,330.76/4,312.94
  6. Step 6: Final answer
    x = 5,025.66

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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.