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Finding the Fourth Proportional to 3,559.16, 4,907.94 and 2,569.16

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Solution

The fourth proportional to 3,559.16, 4,907.94 and 2,569.16 is: 3,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.16 : 4,907.94 = 2,569.16 : x
  2. Step 2: Convert to fraction form
    3,559.16/4,907.94 = 2,569.16/x
  3. Step 3: Cross multiply
    3,559.16x = 4,907.94 × 2,569.16
  4. Step 4: Simplify right side
    3,559.16x = 12,609,283.13
  5. Step 5: Solve for x
    x = 12,609,283.13/3,559.16
  6. Step 6: Final answer
    x = 3,542.77

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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.