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Finding the Fourth Proportional to 3,703.02, 5,109.68 and 2,376.84

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Solution

The fourth proportional to 3,703.02, 5,109.68 and 2,376.84 is: 3,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.02 : 5,109.68 = 2,376.84 : x
  2. Step 2: Convert to fraction form
    3,703.02/5,109.68 = 2,376.84/x
  3. Step 3: Cross multiply
    3,703.02x = 5,109.68 × 2,376.84
  4. Step 4: Simplify right side
    3,703.02x = 12,144,916.91
  5. Step 5: Solve for x
    x = 12,144,916.91/3,703.02
  6. Step 6: Final answer
    x = 3,279.74

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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.