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Finding the Fourth Proportional to 4,564.54, 6,845.01 and 1,602.10

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Solution

The fourth proportional to 4,564.54, 6,845.01 and 1,602.10 is: 2,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.54 : 6,845.01 = 1,602.10 : x
  2. Step 2: Convert to fraction form
    4,564.54/6,845.01 = 1,602.10/x
  3. Step 3: Cross multiply
    4,564.54x = 6,845.01 × 1,602.10
  4. Step 4: Simplify right side
    4,564.54x = 10,966,390.52
  5. Step 5: Solve for x
    x = 10,966,390.52/4,564.54
  6. Step 6: Final answer
    x = 2,402.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.