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Finding the Fourth Proportional to 4,891.16, 6,746.14 and 3,095.96

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Solution

The fourth proportional to 4,891.16, 6,746.14 and 3,095.96 is: 4,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.16 : 6,746.14 = 3,095.96 : x
  2. Step 2: Convert to fraction form
    4,891.16/6,746.14 = 3,095.96/x
  3. Step 3: Cross multiply
    4,891.16x = 6,746.14 × 3,095.96
  4. Step 4: Simplify right side
    4,891.16x = 20,885,779.59
  5. Step 5: Solve for x
    x = 20,885,779.59/4,891.16
  6. Step 6: Final answer
    x = 4,270.11

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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.