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Finding the Fourth Proportional to 4,490.52, 6,196.74 and 2,602.02

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Solution

The fourth proportional to 4,490.52, 6,196.74 and 2,602.02 is: 3,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.52 : 6,196.74 = 2,602.02 : x
  2. Step 2: Convert to fraction form
    4,490.52/6,196.74 = 2,602.02/x
  3. Step 3: Cross multiply
    4,490.52x = 6,196.74 × 2,602.02
  4. Step 4: Simplify right side
    4,490.52x = 16,124,041.41
  5. Step 5: Solve for x
    x = 16,124,041.41/4,490.52
  6. Step 6: Final answer
    x = 3,590.68

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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.