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Finding the Fourth Proportional to 5,010.02, 7,506.54 and 3,542

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Solution

The fourth proportional to 5,010.02, 7,506.54 and 3,542 is: 5,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.02 : 7,506.54 = 3,542 : x
  2. Step 2: Convert to fraction form
    5,010.02/7,506.54 = 3,542/x
  3. Step 3: Cross multiply
    5,010.02x = 7,506.54 × 3,542
  4. Step 4: Simplify right side
    5,010.02x = 26,588,164.68
  5. Step 5: Solve for x
    x = 26,588,164.68/5,010.02
  6. Step 6: Final answer
    x = 5,307.00

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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.