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Finding the Fourth Proportional to 5,712.40, 8,552.40 and 4,405.60

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Solution

The fourth proportional to 5,712.40, 8,552.40 and 4,405.60 is: 6,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.40 : 8,552.40 = 4,405.60 : x
  2. Step 2: Convert to fraction form
    5,712.40/8,552.40 = 4,405.60/x
  3. Step 3: Cross multiply
    5,712.40x = 8,552.40 × 4,405.60
  4. Step 4: Simplify right side
    5,712.40x = 37,678,453.44
  5. Step 5: Solve for x
    x = 37,678,453.44/5,712.40
  6. Step 6: Final answer
    x = 6,595.91

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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.