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Finding the Fourth Proportional to 5,407.50, 8,062.04 and 5,077.02

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Solution

The fourth proportional to 5,407.50, 8,062.04 and 5,077.02 is: 7,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.50 : 8,062.04 = 5,077.02 : x
  2. Step 2: Convert to fraction form
    5,407.50/8,062.04 = 5,077.02/x
  3. Step 3: Cross multiply
    5,407.50x = 8,062.04 × 5,077.02
  4. Step 4: Simplify right side
    5,407.50x = 40,931,112.94
  5. Step 5: Solve for x
    x = 40,931,112.94/5,407.50
  6. Step 6: Final answer
    x = 7,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.