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Finding the Fourth Proportional to 5,528, 7,643.04 and 5,283.20

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Solution

The fourth proportional to 5,528, 7,643.04 and 5,283.20 is: 7,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528 : 7,643.04 = 5,283.20 : x
  2. Step 2: Convert to fraction form
    5,528/7,643.04 = 5,283.20/x
  3. Step 3: Cross multiply
    5,528x = 7,643.04 × 5,283.20
  4. Step 4: Simplify right side
    5,528x = 40,379,708.93
  5. Step 5: Solve for x
    x = 40,379,708.93/5,528
  6. Step 6: Final answer
    x = 7,304.58

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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.