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Finding the Fourth Proportional to 5,700.40, 7,865.06 and 5,304

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Solution

The fourth proportional to 5,700.40, 7,865.06 and 5,304 is: 7,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.40 : 7,865.06 = 5,304 : x
  2. Step 2: Convert to fraction form
    5,700.40/7,865.06 = 5,304/x
  3. Step 3: Cross multiply
    5,700.40x = 7,865.06 × 5,304
  4. Step 4: Simplify right side
    5,700.40x = 41,716,278.24
  5. Step 5: Solve for x
    x = 41,716,278.24/5,700.40
  6. Step 6: Final answer
    x = 7,318.13

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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.