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Finding the Fourth Proportional to 5,262.78, 7,877.72 and 3,877.68

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Solution

The fourth proportional to 5,262.78, 7,877.72 and 3,877.68 is: 5,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.78 : 7,877.72 = 3,877.68 : x
  2. Step 2: Convert to fraction form
    5,262.78/7,877.72 = 3,877.68/x
  3. Step 3: Cross multiply
    5,262.78x = 7,877.72 × 3,877.68
  4. Step 4: Simplify right side
    5,262.78x = 30,547,277.29
  5. Step 5: Solve for x
    x = 30,547,277.29/5,262.78
  6. Step 6: Final answer
    x = 5,804.40

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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.