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Finding the Fourth Proportional to 4,975.84, 6,866.27 and 2,931.42

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Solution

The fourth proportional to 4,975.84, 6,866.27 and 2,931.42 is: 4,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.84 : 6,866.27 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    4,975.84/6,866.27 = 2,931.42/x
  3. Step 3: Cross multiply
    4,975.84x = 6,866.27 × 2,931.42
  4. Step 4: Simplify right side
    4,975.84x = 20,127,921.20
  5. Step 5: Solve for x
    x = 20,127,921.20/4,975.84
  6. Step 6: Final answer
    x = 4,045.13

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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.