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Finding the Fourth Proportional to 3,526.04, 5,290.50 and 1,187

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Solution

The fourth proportional to 3,526.04, 5,290.50 and 1,187 is: 1,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.04 : 5,290.50 = 1,187 : x
  2. Step 2: Convert to fraction form
    3,526.04/5,290.50 = 1,187/x
  3. Step 3: Cross multiply
    3,526.04x = 5,290.50 × 1,187
  4. Step 4: Simplify right side
    3,526.04x = 6,279,823.50
  5. Step 5: Solve for x
    x = 6,279,823.50/3,526.04
  6. Step 6: Final answer
    x = 1,780.98

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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.