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Finding the Fourth Proportional to 5,320, 7,927.14 and 4,738.40

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Solution

The fourth proportional to 5,320, 7,927.14 and 4,738.40 is: 7,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320 : 7,927.14 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    5,320/7,927.14 = 4,738.40/x
  3. Step 3: Cross multiply
    5,320x = 7,927.14 × 4,738.40
  4. Step 4: Simplify right side
    5,320x = 37,561,960.18
  5. Step 5: Solve for x
    x = 37,561,960.18/5,320
  6. Step 6: Final answer
    x = 7,060.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.