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Finding the Fourth Proportional to 4,555.86, 6,828.12 and 1,630.95

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Solution

The fourth proportional to 4,555.86, 6,828.12 and 1,630.95 is: 2,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.86 : 6,828.12 = 1,630.95 : x
  2. Step 2: Convert to fraction form
    4,555.86/6,828.12 = 1,630.95/x
  3. Step 3: Cross multiply
    4,555.86x = 6,828.12 × 1,630.95
  4. Step 4: Simplify right side
    4,555.86x = 11,136,322.31
  5. Step 5: Solve for x
    x = 11,136,322.31/4,555.86
  6. Step 6: Final answer
    x = 2,444.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.