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Finding the Fourth Proportional to 5,256.82, 7,875.95 and 4,684.78

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Solution

The fourth proportional to 5,256.82, 7,875.95 and 4,684.78 is: 7,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.82 : 7,875.95 = 4,684.78 : x
  2. Step 2: Convert to fraction form
    5,256.82/7,875.95 = 4,684.78/x
  3. Step 3: Cross multiply
    5,256.82x = 7,875.95 × 4,684.78
  4. Step 4: Simplify right side
    5,256.82x = 36,897,093.04
  5. Step 5: Solve for x
    x = 36,897,093.04/5,256.82
  6. Step 6: Final answer
    x = 7,018.90

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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.