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Finding the Fourth Proportional to 4,530.88, 6,798.47 and 2,189.57

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Solution

The fourth proportional to 4,530.88, 6,798.47 and 2,189.57 is: 3,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.88 : 6,798.47 = 2,189.57 : x
  2. Step 2: Convert to fraction form
    4,530.88/6,798.47 = 2,189.57/x
  3. Step 3: Cross multiply
    4,530.88x = 6,798.47 × 2,189.57
  4. Step 4: Simplify right side
    4,530.88x = 14,885,681.02
  5. Step 5: Solve for x
    x = 14,885,681.02/4,530.88
  6. Step 6: Final answer
    x = 3,285.38

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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.