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Finding the Fourth Proportional to 4,969.89, 6,853.91 and 4,444.40

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Solution

The fourth proportional to 4,969.89, 6,853.91 and 4,444.40 is: 6,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.89 : 6,853.91 = 4,444.40 : x
  2. Step 2: Convert to fraction form
    4,969.89/6,853.91 = 4,444.40/x
  3. Step 3: Cross multiply
    4,969.89x = 6,853.91 × 4,444.40
  4. Step 4: Simplify right side
    4,969.89x = 30,461,461.11
  5. Step 5: Solve for x
    x = 30,461,461.11/4,969.89
  6. Step 6: Final answer
    x = 6,129.20

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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.