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Finding the Fourth Proportional to 4,343.40, 6,502.14 and 3,044.16

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Solution

The fourth proportional to 4,343.40, 6,502.14 and 3,044.16 is: 4,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.40 : 6,502.14 = 3,044.16 : x
  2. Step 2: Convert to fraction form
    4,343.40/6,502.14 = 3,044.16/x
  3. Step 3: Cross multiply
    4,343.40x = 6,502.14 × 3,044.16
  4. Step 4: Simplify right side
    4,343.40x = 19,793,554.50
  5. Step 5: Solve for x
    x = 19,793,554.50/4,343.40
  6. Step 6: Final answer
    x = 4,557.16

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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.