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Finding the Fourth Proportional to 5,712.35, 8,549.06 and 4,788.95

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Solution

The fourth proportional to 5,712.35, 8,549.06 and 4,788.95 is: 7,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.35 : 8,549.06 = 4,788.95 : x
  2. Step 2: Convert to fraction form
    5,712.35/8,549.06 = 4,788.95/x
  3. Step 3: Cross multiply
    5,712.35x = 8,549.06 × 4,788.95
  4. Step 4: Simplify right side
    5,712.35x = 40,940,954.20
  5. Step 5: Solve for x
    x = 40,940,954.20/5,712.35
  6. Step 6: Final answer
    x = 7,167.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.