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Finding the Fourth Proportional to 5,256.89, 7,875.76 and 3,058.95

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Solution

The fourth proportional to 5,256.89, 7,875.76 and 3,058.95 is: 4,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.89 : 7,875.76 = 3,058.95 : x
  2. Step 2: Convert to fraction form
    5,256.89/7,875.76 = 3,058.95/x
  3. Step 3: Cross multiply
    5,256.89x = 7,875.76 × 3,058.95
  4. Step 4: Simplify right side
    5,256.89x = 24,091,540.76
  5. Step 5: Solve for x
    x = 24,091,540.76/5,256.89
  6. Step 6: Final answer
    x = 4,582.85

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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.