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Finding the Fourth Proportional to 4,658.34, 6,428.84 and 2,562.47

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Solution

The fourth proportional to 4,658.34, 6,428.84 and 2,562.47 is: 3,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.34 : 6,428.84 = 2,562.47 : x
  2. Step 2: Convert to fraction form
    4,658.34/6,428.84 = 2,562.47/x
  3. Step 3: Cross multiply
    4,658.34x = 6,428.84 × 2,562.47
  4. Step 4: Simplify right side
    4,658.34x = 16,473,688.79
  5. Step 5: Solve for x
    x = 16,473,688.79/4,658.34
  6. Step 6: Final answer
    x = 3,536.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.