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Finding the Fourth Proportional to 3,655.04, 5,043.72 and 2,083

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Solution

The fourth proportional to 3,655.04, 5,043.72 and 2,083 is: 2,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.04 : 5,043.72 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,655.04/5,043.72 = 2,083/x
  3. Step 3: Cross multiply
    3,655.04x = 5,043.72 × 2,083
  4. Step 4: Simplify right side
    3,655.04x = 10,506,068.76
  5. Step 5: Solve for x
    x = 10,506,068.76/3,655.04
  6. Step 6: Final answer
    x = 2,874.41

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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.