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Finding the Fourth Proportional to 4,699, 6,483.15 and 2,709.29

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Solution

The fourth proportional to 4,699, 6,483.15 and 2,709.29 is: 3,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699 : 6,483.15 = 2,709.29 : x
  2. Step 2: Convert to fraction form
    4,699/6,483.15 = 2,709.29/x
  3. Step 3: Cross multiply
    4,699x = 6,483.15 × 2,709.29
  4. Step 4: Simplify right side
    4,699x = 17,564,733.46
  5. Step 5: Solve for x
    x = 17,564,733.46/4,699
  6. Step 6: Final answer
    x = 3,737.97

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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.