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Finding the Fourth Proportional to 5,319.42, 7,341.48 and 2,962.32

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Solution

The fourth proportional to 5,319.42, 7,341.48 and 2,962.32 is: 4,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.42 : 7,341.48 = 2,962.32 : x
  2. Step 2: Convert to fraction form
    5,319.42/7,341.48 = 2,962.32/x
  3. Step 3: Cross multiply
    5,319.42x = 7,341.48 × 2,962.32
  4. Step 4: Simplify right side
    5,319.42x = 21,747,813.03
  5. Step 5: Solve for x
    x = 21,747,813.03/5,319.42
  6. Step 6: Final answer
    x = 4,088.38

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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.