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Finding the Fourth Proportional to 5,627.80, 8,429.55 and 4,655.80

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Solution

The fourth proportional to 5,627.80, 8,429.55 and 4,655.80 is: 6,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.80 : 8,429.55 = 4,655.80 : x
  2. Step 2: Convert to fraction form
    5,627.80/8,429.55 = 4,655.80/x
  3. Step 3: Cross multiply
    5,627.80x = 8,429.55 × 4,655.80
  4. Step 4: Simplify right side
    5,627.80x = 39,246,298.89
  5. Step 5: Solve for x
    x = 39,246,298.89/5,627.80
  6. Step 6: Final answer
    x = 6,973.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.