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Finding the Fourth Proportional to 3,460.02, 4,774.05 and 3,165.18

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Solution

The fourth proportional to 3,460.02, 4,774.05 and 3,165.18 is: 4,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.02 : 4,774.05 = 3,165.18 : x
  2. Step 2: Convert to fraction form
    3,460.02/4,774.05 = 3,165.18/x
  3. Step 3: Cross multiply
    3,460.02x = 4,774.05 × 3,165.18
  4. Step 4: Simplify right side
    3,460.02x = 15,110,727.58
  5. Step 5: Solve for x
    x = 15,110,727.58/3,460.02
  6. Step 6: Final answer
    x = 4,367.24

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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.