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Finding the Fourth Proportional to 4,854.48, 7,284.20 and 4,491.60

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Solution

The fourth proportional to 4,854.48, 7,284.20 and 4,491.60 is: 6,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.48 : 7,284.20 = 4,491.60 : x
  2. Step 2: Convert to fraction form
    4,854.48/7,284.20 = 4,491.60/x
  3. Step 3: Cross multiply
    4,854.48x = 7,284.20 × 4,491.60
  4. Step 4: Simplify right side
    4,854.48x = 32,717,712.72
  5. Step 5: Solve for x
    x = 32,717,712.72/4,854.48
  6. Step 6: Final answer
    x = 6,739.69

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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.