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Finding the Fourth Proportional to 4,307.36, 6,461.71 and 1,842.19

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Solution

The fourth proportional to 4,307.36, 6,461.71 and 1,842.19 is: 2,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.36 : 6,461.71 = 1,842.19 : x
  2. Step 2: Convert to fraction form
    4,307.36/6,461.71 = 1,842.19/x
  3. Step 3: Cross multiply
    4,307.36x = 6,461.71 × 1,842.19
  4. Step 4: Simplify right side
    4,307.36x = 11,903,676.79
  5. Step 5: Solve for x
    x = 11,903,676.79/4,307.36
  6. Step 6: Final answer
    x = 2,763.57

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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.