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Finding the Fourth Proportional to 4,627.12, 6,386.04 and 4,233.46

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Solution

The fourth proportional to 4,627.12, 6,386.04 and 4,233.46 is: 5,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.12 : 6,386.04 = 4,233.46 : x
  2. Step 2: Convert to fraction form
    4,627.12/6,386.04 = 4,233.46/x
  3. Step 3: Cross multiply
    4,627.12x = 6,386.04 × 4,233.46
  4. Step 4: Simplify right side
    4,627.12x = 27,035,044.90
  5. Step 5: Solve for x
    x = 27,035,044.90/4,627.12
  6. Step 6: Final answer
    x = 5,842.74

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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.