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Finding the Fourth Proportional to 4,495.48, 6,203.70 and 2,506

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Solution

The fourth proportional to 4,495.48, 6,203.70 and 2,506 is: 3,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.48 : 6,203.70 = 2,506 : x
  2. Step 2: Convert to fraction form
    4,495.48/6,203.70 = 2,506/x
  3. Step 3: Cross multiply
    4,495.48x = 6,203.70 × 2,506
  4. Step 4: Simplify right side
    4,495.48x = 15,546,472.20
  5. Step 5: Solve for x
    x = 15,546,472.20/4,495.48
  6. Step 6: Final answer
    x = 3,458.25

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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.