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Finding the Fourth Proportional to 4,479.60, 6,175.80 and 3,779.76

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Solution

The fourth proportional to 4,479.60, 6,175.80 and 3,779.76 is: 5,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,479.60 : 6,175.80 = 3,779.76 : x
  2. Step 2: Convert to fraction form
    4,479.60/6,175.80 = 3,779.76/x
  3. Step 3: Cross multiply
    4,479.60x = 6,175.80 × 3,779.76
  4. Step 4: Simplify right side
    4,479.60x = 23,343,041.81
  5. Step 5: Solve for x
    x = 23,343,041.81/4,479.60
  6. Step 6: Final answer
    x = 5,210.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.