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Finding the Fourth Proportional to 4,455, 6,147.80 and 2,465.58

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Solution

The fourth proportional to 4,455, 6,147.80 and 2,465.58 is: 3,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455 : 6,147.80 = 2,465.58 : x
  2. Step 2: Convert to fraction form
    4,455/6,147.80 = 2,465.58/x
  3. Step 3: Cross multiply
    4,455x = 6,147.80 × 2,465.58
  4. Step 4: Simplify right side
    4,455x = 15,157,892.72
  5. Step 5: Solve for x
    x = 15,157,892.72/4,455
  6. Step 6: Final answer
    x = 3,402.45

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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.