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Finding the Fourth Proportional to 5,307.78, 7,923.36 and 4,923.18

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Solution

The fourth proportional to 5,307.78, 7,923.36 and 4,923.18 is: 7,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.78 : 7,923.36 = 4,923.18 : x
  2. Step 2: Convert to fraction form
    5,307.78/7,923.36 = 4,923.18/x
  3. Step 3: Cross multiply
    5,307.78x = 7,923.36 × 4,923.18
  4. Step 4: Simplify right side
    5,307.78x = 39,008,127.48
  5. Step 5: Solve for x
    x = 39,008,127.48/5,307.78
  6. Step 6: Final answer
    x = 7,349.24

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Why These Related Problems?

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