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Finding the Fourth Proportional to 4,345.44, 6,516.64 and 1,423

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Solution

The fourth proportional to 4,345.44, 6,516.64 and 1,423 is: 2,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.44 : 6,516.64 = 1,423 : x
  2. Step 2: Convert to fraction form
    4,345.44/6,516.64 = 1,423/x
  3. Step 3: Cross multiply
    4,345.44x = 6,516.64 × 1,423
  4. Step 4: Simplify right side
    4,345.44x = 9,273,178.72
  5. Step 5: Solve for x
    x = 9,273,178.72/4,345.44
  6. Step 6: Final answer
    x = 2,134.00

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Why These Related Problems?

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