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Finding the Fourth Proportional to 3,702.56, 5,111.87 and 2,378.57

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Solution

The fourth proportional to 3,702.56, 5,111.87 and 2,378.57 is: 3,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.56 : 5,111.87 = 2,378.57 : x
  2. Step 2: Convert to fraction form
    3,702.56/5,111.87 = 2,378.57/x
  3. Step 3: Cross multiply
    3,702.56x = 5,111.87 × 2,378.57
  4. Step 4: Simplify right side
    3,702.56x = 12,158,941.51
  5. Step 5: Solve for x
    x = 12,158,941.51/3,702.56
  6. Step 6: Final answer
    x = 3,283.93

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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.