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Finding the Fourth Proportional to 5,262.21, 7,854.57 and 4,823.88

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Solution

The fourth proportional to 5,262.21, 7,854.57 and 4,823.88 is: 7,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.21 : 7,854.57 = 4,823.88 : x
  2. Step 2: Convert to fraction form
    5,262.21/7,854.57 = 4,823.88/x
  3. Step 3: Cross multiply
    5,262.21x = 7,854.57 × 4,823.88
  4. Step 4: Simplify right side
    5,262.21x = 37,889,503.13
  5. Step 5: Solve for x
    x = 37,889,503.13/5,262.21
  6. Step 6: Final answer
    x = 7,200.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.