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Finding the Fourth Proportional to 5,775.68, 7,970.40 and 3,257.81

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Solution

The fourth proportional to 5,775.68, 7,970.40 and 3,257.81 is: 4,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.68 : 7,970.40 = 3,257.81 : x
  2. Step 2: Convert to fraction form
    5,775.68/7,970.40 = 3,257.81/x
  3. Step 3: Cross multiply
    5,775.68x = 7,970.40 × 3,257.81
  4. Step 4: Simplify right side
    5,775.68x = 25,966,068.75
  5. Step 5: Solve for x
    x = 25,966,068.75/5,775.68
  6. Step 6: Final answer
    x = 4,495.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.