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Finding the Fourth Proportional to 4,779.36, 6,588 and 4,377.60

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Solution

The fourth proportional to 4,779.36, 6,588 and 4,377.60 is: 6,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.36 : 6,588 = 4,377.60 : x
  2. Step 2: Convert to fraction form
    4,779.36/6,588 = 4,377.60/x
  3. Step 3: Cross multiply
    4,779.36x = 6,588 × 4,377.60
  4. Step 4: Simplify right side
    4,779.36x = 28,839,628.80
  5. Step 5: Solve for x
    x = 28,839,628.80/4,779.36
  6. Step 6: Final answer
    x = 6,034.20

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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.