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Finding the Fourth Proportional to 4,307.87, 6,461.57 and 1,145.22

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Solution

The fourth proportional to 4,307.87, 6,461.57 and 1,145.22 is: 1,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.87 : 6,461.57 = 1,145.22 : x
  2. Step 2: Convert to fraction form
    4,307.87/6,461.57 = 1,145.22/x
  3. Step 3: Cross multiply
    4,307.87x = 6,461.57 × 1,145.22
  4. Step 4: Simplify right side
    4,307.87x = 7,399,913.47
  5. Step 5: Solve for x
    x = 7,399,913.47/4,307.87
  6. Step 6: Final answer
    x = 1,717.77

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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.