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Finding the Fourth Proportional to 5,572, 7,684.93 and 4,735.47

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Solution

The fourth proportional to 5,572, 7,684.93 and 4,735.47 is: 6,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572 : 7,684.93 = 4,735.47 : x
  2. Step 2: Convert to fraction form
    5,572/7,684.93 = 4,735.47/x
  3. Step 3: Cross multiply
    5,572x = 7,684.93 × 4,735.47
  4. Step 4: Simplify right side
    5,572x = 36,391,786.52
  5. Step 5: Solve for x
    x = 36,391,786.52/5,572
  6. Step 6: Final answer
    x = 6,531.19

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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.