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Finding the Fourth Proportional to 3,852.64, 5,314.80 and 2,525.76

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Solution

The fourth proportional to 3,852.64, 5,314.80 and 2,525.76 is: 3,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.64 : 5,314.80 = 2,525.76 : x
  2. Step 2: Convert to fraction form
    3,852.64/5,314.80 = 2,525.76/x
  3. Step 3: Cross multiply
    3,852.64x = 5,314.80 × 2,525.76
  4. Step 4: Simplify right side
    3,852.64x = 13,423,909.25
  5. Step 5: Solve for x
    x = 13,423,909.25/3,852.64
  6. Step 6: Final answer
    x = 3,484.34

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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.