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Finding the Fourth Proportional to 4,370, 6,031.68 and 2,508.08

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Solution

The fourth proportional to 4,370, 6,031.68 and 2,508.08 is: 3,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370 : 6,031.68 = 2,508.08 : x
  2. Step 2: Convert to fraction form
    4,370/6,031.68 = 2,508.08/x
  3. Step 3: Cross multiply
    4,370x = 6,031.68 × 2,508.08
  4. Step 4: Simplify right side
    4,370x = 15,127,935.97
  5. Step 5: Solve for x
    x = 15,127,935.97/4,370
  6. Step 6: Final answer
    x = 3,461.77

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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.