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Finding the Fourth Proportional to 4,938.93, 7,407.57 and 1,652.02

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Solution

The fourth proportional to 4,938.93, 7,407.57 and 1,652.02 is: 2,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.93 : 7,407.57 = 1,652.02 : x
  2. Step 2: Convert to fraction form
    4,938.93/7,407.57 = 1,652.02/x
  3. Step 3: Cross multiply
    4,938.93x = 7,407.57 × 1,652.02
  4. Step 4: Simplify right side
    4,938.93x = 12,237,456.86
  5. Step 5: Solve for x
    x = 12,237,456.86/4,938.93
  6. Step 6: Final answer
    x = 2,477.75

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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.