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Finding the Fourth Proportional to 4,971.68, 6,821.72 and 4,925.24

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Solution

The fourth proportional to 4,971.68, 6,821.72 and 4,925.24 is: 6,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.68 : 6,821.72 = 4,925.24 : x
  2. Step 2: Convert to fraction form
    4,971.68/6,821.72 = 4,925.24/x
  3. Step 3: Cross multiply
    4,971.68x = 6,821.72 × 4,925.24
  4. Step 4: Simplify right side
    4,971.68x = 33,598,608.21
  5. Step 5: Solve for x
    x = 33,598,608.21/4,971.68
  6. Step 6: Final answer
    x = 6,758.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.