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Finding the Fourth Proportional to 4,562.06, 6,835.80 and 4,557.20

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Solution

The fourth proportional to 4,562.06, 6,835.80 and 4,557.20 is: 6,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.06 : 6,835.80 = 4,557.20 : x
  2. Step 2: Convert to fraction form
    4,562.06/6,835.80 = 4,557.20/x
  3. Step 3: Cross multiply
    4,562.06x = 6,835.80 × 4,557.20
  4. Step 4: Simplify right side
    4,562.06x = 31,152,107.76
  5. Step 5: Solve for x
    x = 31,152,107.76/4,562.06
  6. Step 6: Final answer
    x = 6,828.52

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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.