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Finding the Fourth Proportional to 4,752.22, 7,118.88 and 4,346.14

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Solution

The fourth proportional to 4,752.22, 7,118.88 and 4,346.14 is: 6,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.22 : 7,118.88 = 4,346.14 : x
  2. Step 2: Convert to fraction form
    4,752.22/7,118.88 = 4,346.14/x
  3. Step 3: Cross multiply
    4,752.22x = 7,118.88 × 4,346.14
  4. Step 4: Simplify right side
    4,752.22x = 30,939,649.12
  5. Step 5: Solve for x
    x = 30,939,649.12/4,752.22
  6. Step 6: Final answer
    x = 6,510.57

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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.