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Finding the Fourth Proportional to 4,975.73, 7,462.75 and 1,417.60

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Solution

The fourth proportional to 4,975.73, 7,462.75 and 1,417.60 is: 2,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.73 : 7,462.75 = 1,417.60 : x
  2. Step 2: Convert to fraction form
    4,975.73/7,462.75 = 1,417.60/x
  3. Step 3: Cross multiply
    4,975.73x = 7,462.75 × 1,417.60
  4. Step 4: Simplify right side
    4,975.73x = 10,579,177.34
  5. Step 5: Solve for x
    x = 10,579,177.34/4,975.73
  6. Step 6: Final answer
    x = 2,126.16

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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.