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Finding the Fourth Proportional to 4,352.70, 6,530.16 and 2,041.50

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Solution

The fourth proportional to 4,352.70, 6,530.16 and 2,041.50 is: 3,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.70 : 6,530.16 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    4,352.70/6,530.16 = 2,041.50/x
  3. Step 3: Cross multiply
    4,352.70x = 6,530.16 × 2,041.50
  4. Step 4: Simplify right side
    4,352.70x = 13,331,321.64
  5. Step 5: Solve for x
    x = 13,331,321.64/4,352.70
  6. Step 6: Final answer
    x = 3,062.77

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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.