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Finding the Fourth Proportional to 4,779.50, 7,160.76 and 4,079.04

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Solution

The fourth proportional to 4,779.50, 7,160.76 and 4,079.04 is: 6,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.50 : 7,160.76 = 4,079.04 : x
  2. Step 2: Convert to fraction form
    4,779.50/7,160.76 = 4,079.04/x
  3. Step 3: Cross multiply
    4,779.50x = 7,160.76 × 4,079.04
  4. Step 4: Simplify right side
    4,779.50x = 29,209,026.47
  5. Step 5: Solve for x
    x = 29,209,026.47/4,779.50
  6. Step 6: Final answer
    x = 6,111.31

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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.