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Finding the Fourth Proportional to 3,526.65, 5,290.19 and 929.59

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Solution

The fourth proportional to 3,526.65, 5,290.19 and 929.59 is: 1,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.65 : 5,290.19 = 929.59 : x
  2. Step 2: Convert to fraction form
    3,526.65/5,290.19 = 929.59/x
  3. Step 3: Cross multiply
    3,526.65x = 5,290.19 × 929.59
  4. Step 4: Simplify right side
    3,526.65x = 4,917,696.82
  5. Step 5: Solve for x
    x = 4,917,696.82/3,526.65
  6. Step 6: Final answer
    x = 1,394.44

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1.5x scale

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.