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Finding the Fourth Proportional to 4,690.60, 6,472.32 and 2,594.76

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Solution

The fourth proportional to 4,690.60, 6,472.32 and 2,594.76 is: 3,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.60 : 6,472.32 = 2,594.76 : x
  2. Step 2: Convert to fraction form
    4,690.60/6,472.32 = 2,594.76/x
  3. Step 3: Cross multiply
    4,690.60x = 6,472.32 × 2,594.76
  4. Step 4: Simplify right side
    4,690.60x = 16,794,117.04
  5. Step 5: Solve for x
    x = 16,794,117.04/4,690.60
  6. Step 6: Final answer
    x = 3,580.38

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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.