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Finding the Fourth Proportional to 3,472.80, 5,210.40 and 1,526.40

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Solution

The fourth proportional to 3,472.80, 5,210.40 and 1,526.40 is: 2,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.80 : 5,210.40 = 1,526.40 : x
  2. Step 2: Convert to fraction form
    3,472.80/5,210.40 = 1,526.40/x
  3. Step 3: Cross multiply
    3,472.80x = 5,210.40 × 1,526.40
  4. Step 4: Simplify right side
    3,472.80x = 7,953,154.56
  5. Step 5: Solve for x
    x = 7,953,154.56/3,472.80
  6. Step 6: Final answer
    x = 2,290.13

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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.