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Finding the Fourth Proportional to 4,287.66, 6,416.88 and 3,595.11

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Solution

The fourth proportional to 4,287.66, 6,416.88 and 3,595.11 is: 5,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.66 : 6,416.88 = 3,595.11 : x
  2. Step 2: Convert to fraction form
    4,287.66/6,416.88 = 3,595.11/x
  3. Step 3: Cross multiply
    4,287.66x = 6,416.88 × 3,595.11
  4. Step 4: Simplify right side
    4,287.66x = 23,069,389.46
  5. Step 5: Solve for x
    x = 23,069,389.46/4,287.66
  6. Step 6: Final answer
    x = 5,380.41

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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.