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Finding the Fourth Proportional to 5,661.62, 7,820.55 and 4,720.53

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Solution

The fourth proportional to 5,661.62, 7,820.55 and 4,720.53 is: 6,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.62 : 7,820.55 = 4,720.53 : x
  2. Step 2: Convert to fraction form
    5,661.62/7,820.55 = 4,720.53/x
  3. Step 3: Cross multiply
    5,661.62x = 7,820.55 × 4,720.53
  4. Step 4: Simplify right side
    5,661.62x = 36,917,140.89
  5. Step 5: Solve for x
    x = 36,917,140.89/5,661.62
  6. Step 6: Final answer
    x = 6,520.60

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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.