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Finding the Fourth Proportional to 4,562.83, 6,852.14 and 4,355.06

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Solution

The fourth proportional to 4,562.83, 6,852.14 and 4,355.06 is: 6,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.83 : 6,852.14 = 4,355.06 : x
  2. Step 2: Convert to fraction form
    4,562.83/6,852.14 = 4,355.06/x
  3. Step 3: Cross multiply
    4,562.83x = 6,852.14 × 4,355.06
  4. Step 4: Simplify right side
    4,562.83x = 29,841,459.05
  5. Step 5: Solve for x
    x = 29,841,459.05/4,562.83
  6. Step 6: Final answer
    x = 6,540.13

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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.