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Finding the Fourth Proportional to 5,320, 7,341.76 and 2,962.24

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Solution

The fourth proportional to 5,320, 7,341.76 and 2,962.24 is: 4,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320 : 7,341.76 = 2,962.24 : x
  2. Step 2: Convert to fraction form
    5,320/7,341.76 = 2,962.24/x
  3. Step 3: Cross multiply
    5,320x = 7,341.76 × 2,962.24
  4. Step 4: Simplify right side
    5,320x = 21,748,055.14
  5. Step 5: Solve for x
    x = 21,748,055.14/5,320
  6. Step 6: Final answer
    x = 4,087.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.