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Finding the Fourth Proportional to 3,506.77, 5,260.20 and 1,041.53

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Solution

The fourth proportional to 3,506.77, 5,260.20 and 1,041.53 is: 1,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.77 : 5,260.20 = 1,041.53 : x
  2. Step 2: Convert to fraction form
    3,506.77/5,260.20 = 1,041.53/x
  3. Step 3: Cross multiply
    3,506.77x = 5,260.20 × 1,041.53
  4. Step 4: Simplify right side
    3,506.77x = 5,478,656.11
  5. Step 5: Solve for x
    x = 5,478,656.11/3,506.77
  6. Step 6: Final answer
    x = 1,562.31

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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.