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Finding the Fourth Proportional to 3,370.56, 4,649.76 and 2,904

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Solution

The fourth proportional to 3,370.56, 4,649.76 and 2,904 is: 4,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.56 : 4,649.76 = 2,904 : x
  2. Step 2: Convert to fraction form
    3,370.56/4,649.76 = 2,904/x
  3. Step 3: Cross multiply
    3,370.56x = 4,649.76 × 2,904
  4. Step 4: Simplify right side
    3,370.56x = 13,502,903.04
  5. Step 5: Solve for x
    x = 13,502,903.04/3,370.56
  6. Step 6: Final answer
    x = 4,006.13

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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.