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Finding the Fourth Proportional to 4,398.30, 6,070.24 and 2,509.46

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Solution

The fourth proportional to 4,398.30, 6,070.24 and 2,509.46 is: 3,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.30 : 6,070.24 = 2,509.46 : x
  2. Step 2: Convert to fraction form
    4,398.30/6,070.24 = 2,509.46/x
  3. Step 3: Cross multiply
    4,398.30x = 6,070.24 × 2,509.46
  4. Step 4: Simplify right side
    4,398.30x = 15,233,024.47
  5. Step 5: Solve for x
    x = 15,233,024.47/4,398.30
  6. Step 6: Final answer
    x = 3,463.39

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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.