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Finding the Fourth Proportional to 3,575.76, 4,932.54 and 2,526

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Solution

The fourth proportional to 3,575.76, 4,932.54 and 2,526 is: 3,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.76 : 4,932.54 = 2,526 : x
  2. Step 2: Convert to fraction form
    3,575.76/4,932.54 = 2,526/x
  3. Step 3: Cross multiply
    3,575.76x = 4,932.54 × 2,526
  4. Step 4: Simplify right side
    3,575.76x = 12,459,596.04
  5. Step 5: Solve for x
    x = 12,459,596.04/3,575.76
  6. Step 6: Final answer
    x = 3,484.46

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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.