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Finding the Fourth Proportional to 4,140.01, 6,209.95 and 1,020.05

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Solution

The fourth proportional to 4,140.01, 6,209.95 and 1,020.05 is: 1,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.01 : 6,209.95 = 1,020.05 : x
  2. Step 2: Convert to fraction form
    4,140.01/6,209.95 = 1,020.05/x
  3. Step 3: Cross multiply
    4,140.01x = 6,209.95 × 1,020.05
  4. Step 4: Simplify right side
    4,140.01x = 6,334,459.50
  5. Step 5: Solve for x
    x = 6,334,459.50/4,140.01
  6. Step 6: Final answer
    x = 1,530.06

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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.