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Finding the Fourth Proportional to 4,885.47, 7,328.81 and 1,597.68

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Solution

The fourth proportional to 4,885.47, 7,328.81 and 1,597.68 is: 2,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.47 : 7,328.81 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    4,885.47/7,328.81 = 1,597.68/x
  3. Step 3: Cross multiply
    4,885.47x = 7,328.81 × 1,597.68
  4. Step 4: Simplify right side
    4,885.47x = 11,709,097.16
  5. Step 5: Solve for x
    x = 11,709,097.16/4,885.47
  6. Step 6: Final answer
    x = 2,396.72

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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.