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Finding the Fourth Proportional to 5,482.56, 7,564.06 and 3,123.02

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Solution

The fourth proportional to 5,482.56, 7,564.06 and 3,123.02 is: 4,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.56 : 7,564.06 = 3,123.02 : x
  2. Step 2: Convert to fraction form
    5,482.56/7,564.06 = 3,123.02/x
  3. Step 3: Cross multiply
    5,482.56x = 7,564.06 × 3,123.02
  4. Step 4: Simplify right side
    5,482.56x = 23,622,710.66
  5. Step 5: Solve for x
    x = 23,622,710.66/5,482.56
  6. Step 6: Final answer
    x = 4,308.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.