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Finding the Fourth Proportional to 4,714.38, 6,501.60 and 2,946.24

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Solution

The fourth proportional to 4,714.38, 6,501.60 and 2,946.24 is: 4,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.38 : 6,501.60 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    4,714.38/6,501.60 = 2,946.24/x
  3. Step 3: Cross multiply
    4,714.38x = 6,501.60 × 2,946.24
  4. Step 4: Simplify right side
    4,714.38x = 19,155,273.98
  5. Step 5: Solve for x
    x = 19,155,273.98/4,714.38
  6. Step 6: Final answer
    x = 4,063.16

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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.