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Finding the Fourth Proportional to 5,970.16, 8,235.16 and 3,848.50

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Solution

The fourth proportional to 5,970.16, 8,235.16 and 3,848.50 is: 5,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.16 : 8,235.16 = 3,848.50 : x
  2. Step 2: Convert to fraction form
    5,970.16/8,235.16 = 3,848.50/x
  3. Step 3: Cross multiply
    5,970.16x = 8,235.16 × 3,848.50
  4. Step 4: Simplify right side
    5,970.16x = 31,693,013.26
  5. Step 5: Solve for x
    x = 31,693,013.26/5,970.16
  6. Step 6: Final answer
    x = 5,308.57

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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.