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Finding the Fourth Proportional to 4,049.84, 5,590.14 and 2,560.25

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Solution

The fourth proportional to 4,049.84, 5,590.14 and 2,560.25 is: 3,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.84 : 5,590.14 = 2,560.25 : x
  2. Step 2: Convert to fraction form
    4,049.84/5,590.14 = 2,560.25/x
  3. Step 3: Cross multiply
    4,049.84x = 5,590.14 × 2,560.25
  4. Step 4: Simplify right side
    4,049.84x = 14,312,155.94
  5. Step 5: Solve for x
    x = 14,312,155.94/4,049.84
  6. Step 6: Final answer
    x = 3,534.01

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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.