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Finding the Fourth Proportional to 5,719.32, 8,563.95 and 4,602.80

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Solution

The fourth proportional to 5,719.32, 8,563.95 and 4,602.80 is: 6,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.32 : 8,563.95 = 4,602.80 : x
  2. Step 2: Convert to fraction form
    5,719.32/8,563.95 = 4,602.80/x
  3. Step 3: Cross multiply
    5,719.32x = 8,563.95 × 4,602.80
  4. Step 4: Simplify right side
    5,719.32x = 39,418,149.06
  5. Step 5: Solve for x
    x = 39,418,149.06/5,719.32
  6. Step 6: Final answer
    x = 6,892.10

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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.