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Finding the Fourth Proportional to 5,294.65, 7,303.43 and 3,502.17

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Solution

The fourth proportional to 5,294.65, 7,303.43 and 3,502.17 is: 4,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.65 : 7,303.43 = 3,502.17 : x
  2. Step 2: Convert to fraction form
    5,294.65/7,303.43 = 3,502.17/x
  3. Step 3: Cross multiply
    5,294.65x = 7,303.43 × 3,502.17
  4. Step 4: Simplify right side
    5,294.65x = 25,577,816.93
  5. Step 5: Solve for x
    x = 25,577,816.93/5,294.65
  6. Step 6: Final answer
    x = 4,830.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.