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Finding the Fourth Proportional to 3,506.58, 5,259.80 and 1,041.38

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Solution

The fourth proportional to 3,506.58, 5,259.80 and 1,041.38 is: 1,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.58 : 5,259.80 = 1,041.38 : x
  2. Step 2: Convert to fraction form
    3,506.58/5,259.80 = 1,041.38/x
  3. Step 3: Cross multiply
    3,506.58x = 5,259.80 × 1,041.38
  4. Step 4: Simplify right side
    3,506.58x = 5,477,450.52
  5. Step 5: Solve for x
    x = 5,477,450.52/3,506.58
  6. Step 6: Final answer
    x = 1,562.05

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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.