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Finding the Fourth Proportional to 4,307.73, 6,461.79 and 1,534.42

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Solution

The fourth proportional to 4,307.73, 6,461.79 and 1,534.42 is: 2,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.73 : 6,461.79 = 1,534.42 : x
  2. Step 2: Convert to fraction form
    4,307.73/6,461.79 = 1,534.42/x
  3. Step 3: Cross multiply
    4,307.73x = 6,461.79 × 1,534.42
  4. Step 4: Simplify right side
    4,307.73x = 9,915,099.81
  5. Step 5: Solve for x
    x = 9,915,099.81/4,307.73
  6. Step 6: Final answer
    x = 2,301.70

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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.