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Finding the Fourth Proportional to 4,950.90, 7,421.16 and 1,828.91

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Solution

The fourth proportional to 4,950.90, 7,421.16 and 1,828.91 is: 2,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.90 : 7,421.16 = 1,828.91 : x
  2. Step 2: Convert to fraction form
    4,950.90/7,421.16 = 1,828.91/x
  3. Step 3: Cross multiply
    4,950.90x = 7,421.16 × 1,828.91
  4. Step 4: Simplify right side
    4,950.90x = 13,572,633.74
  5. Step 5: Solve for x
    x = 13,572,633.74/4,950.90
  6. Step 6: Final answer
    x = 2,741.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.