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Finding the Fourth Proportional to 5,615.08, 7,746.42 and 4,120.40

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Solution

The fourth proportional to 5,615.08, 7,746.42 and 4,120.40 is: 5,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.08 : 7,746.42 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    5,615.08/7,746.42 = 4,120.40/x
  3. Step 3: Cross multiply
    5,615.08x = 7,746.42 × 4,120.40
  4. Step 4: Simplify right side
    5,615.08x = 31,918,348.97
  5. Step 5: Solve for x
    x = 31,918,348.97/5,615.08
  6. Step 6: Final answer
    x = 5,684.40

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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.