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Finding the Fourth Proportional to 3,567.84, 4,924.74 and 2,505.12

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Solution

The fourth proportional to 3,567.84, 4,924.74 and 2,505.12 is: 3,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.84 : 4,924.74 = 2,505.12 : x
  2. Step 2: Convert to fraction form
    3,567.84/4,924.74 = 2,505.12/x
  3. Step 3: Cross multiply
    3,567.84x = 4,924.74 × 2,505.12
  4. Step 4: Simplify right side
    3,567.84x = 12,337,064.67
  5. Step 5: Solve for x
    x = 12,337,064.67/3,567.84
  6. Step 6: Final answer
    x = 3,457.85

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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.