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Finding the Fourth Proportional to 3,850.76, 5,312.40 and 2,524.16

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Solution

The fourth proportional to 3,850.76, 5,312.40 and 2,524.16 is: 3,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.76 : 5,312.40 = 2,524.16 : x
  2. Step 2: Convert to fraction form
    3,850.76/5,312.40 = 2,524.16/x
  3. Step 3: Cross multiply
    3,850.76x = 5,312.40 × 2,524.16
  4. Step 4: Simplify right side
    3,850.76x = 13,409,347.58
  5. Step 5: Solve for x
    x = 13,409,347.58/3,850.76
  6. Step 6: Final answer
    x = 3,482.26

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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.