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Finding the Fourth Proportional to 4,798, 7,199.16 and 2,746

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Solution

The fourth proportional to 4,798, 7,199.16 and 2,746 is: 4,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798 : 7,199.16 = 2,746 : x
  2. Step 2: Convert to fraction form
    4,798/7,199.16 = 2,746/x
  3. Step 3: Cross multiply
    4,798x = 7,199.16 × 2,746
  4. Step 4: Simplify right side
    4,798x = 19,768,893.36
  5. Step 5: Solve for x
    x = 19,768,893.36/4,798
  6. Step 6: Final answer
    x = 4,120.24

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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.