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Finding the Fourth Proportional to 4,558.52, 6,291.01 and 2,569.16

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Solution

The fourth proportional to 4,558.52, 6,291.01 and 2,569.16 is: 3,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.52 : 6,291.01 = 2,569.16 : x
  2. Step 2: Convert to fraction form
    4,558.52/6,291.01 = 2,569.16/x
  3. Step 3: Cross multiply
    4,558.52x = 6,291.01 × 2,569.16
  4. Step 4: Simplify right side
    4,558.52x = 16,162,611.25
  5. Step 5: Solve for x
    x = 16,162,611.25/4,558.52
  6. Step 6: Final answer
    x = 3,545.58

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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.