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Finding the Fourth Proportional to 5,655.02, 7,798.82 and 3,530.75

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Solution

The fourth proportional to 5,655.02, 7,798.82 and 3,530.75 is: 4,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.02 : 7,798.82 = 3,530.75 : x
  2. Step 2: Convert to fraction form
    5,655.02/7,798.82 = 3,530.75/x
  3. Step 3: Cross multiply
    5,655.02x = 7,798.82 × 3,530.75
  4. Step 4: Simplify right side
    5,655.02x = 27,535,640.31
  5. Step 5: Solve for x
    x = 27,535,640.31/5,655.02
  6. Step 6: Final answer
    x = 4,869.24

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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.