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Finding the Fourth Proportional to 5,043.06, 7,564.59 and 1,533.06

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Solution

The fourth proportional to 5,043.06, 7,564.59 and 1,533.06 is: 2,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.06 : 7,564.59 = 1,533.06 : x
  2. Step 2: Convert to fraction form
    5,043.06/7,564.59 = 1,533.06/x
  3. Step 3: Cross multiply
    5,043.06x = 7,564.59 × 1,533.06
  4. Step 4: Simplify right side
    5,043.06x = 11,596,970.35
  5. Step 5: Solve for x
    x = 11,596,970.35/5,043.06
  6. Step 6: Final answer
    x = 2,299.59

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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.