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Finding the Fourth Proportional to 3,703.85, 5,555.79 and 1,071.50

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Solution

The fourth proportional to 3,703.85, 5,555.79 and 1,071.50 is: 1,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.85 : 5,555.79 = 1,071.50 : x
  2. Step 2: Convert to fraction form
    3,703.85/5,555.79 = 1,071.50/x
  3. Step 3: Cross multiply
    3,703.85x = 5,555.79 × 1,071.50
  4. Step 4: Simplify right side
    3,703.85x = 5,953,048.08
  5. Step 5: Solve for x
    x = 5,953,048.08/3,703.85
  6. Step 6: Final answer
    x = 1,607.26

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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.