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Finding the Fourth Proportional to 3,652.16, 5,038.26 and 2,657

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Solution

The fourth proportional to 3,652.16, 5,038.26 and 2,657 is: 3,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.16 : 5,038.26 = 2,657 : x
  2. Step 2: Convert to fraction form
    3,652.16/5,038.26 = 2,657/x
  3. Step 3: Cross multiply
    3,652.16x = 5,038.26 × 2,657
  4. Step 4: Simplify right side
    3,652.16x = 13,386,656.82
  5. Step 5: Solve for x
    x = 13,386,656.82/3,652.16
  6. Step 6: Final answer
    x = 3,665.41

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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.