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Finding the Fourth Proportional to 4,860.46, 7,252.77 and 4,336.86

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Solution

The fourth proportional to 4,860.46, 7,252.77 and 4,336.86 is: 6,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.46 : 7,252.77 = 4,336.86 : x
  2. Step 2: Convert to fraction form
    4,860.46/7,252.77 = 4,336.86/x
  3. Step 3: Cross multiply
    4,860.46x = 7,252.77 × 4,336.86
  4. Step 4: Simplify right side
    4,860.46x = 31,454,248.10
  5. Step 5: Solve for x
    x = 31,454,248.10/4,860.46
  6. Step 6: Final answer
    x = 6,471.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.