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Finding the Fourth Proportional to 4,931.44, 7,397.16 and 2,878

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Solution

The fourth proportional to 4,931.44, 7,397.16 and 2,878 is: 4,317

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.44 : 7,397.16 = 2,878 : x
  2. Step 2: Convert to fraction form
    4,931.44/7,397.16 = 2,878/x
  3. Step 3: Cross multiply
    4,931.44x = 7,397.16 × 2,878
  4. Step 4: Simplify right side
    4,931.44x = 21,289,026.48
  5. Step 5: Solve for x
    x = 21,289,026.48/4,931.44
  6. Step 6: Final answer
    x = 4,317

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.