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Finding the Fourth Proportional to 4,699.66, 6,485.98 and 2,604.46

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Solution

The fourth proportional to 4,699.66, 6,485.98 and 2,604.46 is: 3,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.66 : 6,485.98 = 2,604.46 : x
  2. Step 2: Convert to fraction form
    4,699.66/6,485.98 = 2,604.46/x
  3. Step 3: Cross multiply
    4,699.66x = 6,485.98 × 2,604.46
  4. Step 4: Simplify right side
    4,699.66x = 16,892,475.47
  5. Step 5: Solve for x
    x = 16,892,475.47/4,699.66
  6. Step 6: Final answer
    x = 3,594.40

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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.