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Finding the Fourth Proportional to 5,032.56, 7,548 and 1,335.01

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Solution

The fourth proportional to 5,032.56, 7,548 and 1,335.01 is: 2,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.56 : 7,548 = 1,335.01 : x
  2. Step 2: Convert to fraction form
    5,032.56/7,548 = 1,335.01/x
  3. Step 3: Cross multiply
    5,032.56x = 7,548 × 1,335.01
  4. Step 4: Simplify right side
    5,032.56x = 10,076,655.48
  5. Step 5: Solve for x
    x = 10,076,655.48/5,032.56
  6. Step 6: Final answer
    x = 2,002.29

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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.