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Finding the Fourth Proportional to 4,698.72, 6,484.32 and 2,602.80

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Solution

The fourth proportional to 4,698.72, 6,484.32 and 2,602.80 is: 3,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.72 : 6,484.32 = 2,602.80 : x
  2. Step 2: Convert to fraction form
    4,698.72/6,484.32 = 2,602.80/x
  3. Step 3: Cross multiply
    4,698.72x = 6,484.32 × 2,602.80
  4. Step 4: Simplify right side
    4,698.72x = 16,877,388.10
  5. Step 5: Solve for x
    x = 16,877,388.10/4,698.72
  6. Step 6: Final answer
    x = 3,591.91

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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.