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Finding the Fourth Proportional to 4,458.60, 6,152.70 and 2,569.92

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Solution

The fourth proportional to 4,458.60, 6,152.70 and 2,569.92 is: 3,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.60 : 6,152.70 = 2,569.92 : x
  2. Step 2: Convert to fraction form
    4,458.60/6,152.70 = 2,569.92/x
  3. Step 3: Cross multiply
    4,458.60x = 6,152.70 × 2,569.92
  4. Step 4: Simplify right side
    4,458.60x = 15,811,946.78
  5. Step 5: Solve for x
    x = 15,811,946.78/4,458.60
  6. Step 6: Final answer
    x = 3,546.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.