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Finding the Fourth Proportional to 4,558.68, 6,291 and 2,569.32

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Solution

The fourth proportional to 4,558.68, 6,291 and 2,569.32 is: 3,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.68 : 6,291 = 2,569.32 : x
  2. Step 2: Convert to fraction form
    4,558.68/6,291 = 2,569.32/x
  3. Step 3: Cross multiply
    4,558.68x = 6,291 × 2,569.32
  4. Step 4: Simplify right side
    4,558.68x = 16,163,592.12
  5. Step 5: Solve for x
    x = 16,163,592.12/4,558.68
  6. Step 6: Final answer
    x = 3,545.67

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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.