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Finding the Fourth Proportional to 5,076.64, 7,005.42 and 2,838.40

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Solution

The fourth proportional to 5,076.64, 7,005.42 and 2,838.40 is: 3,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.64 : 7,005.42 = 2,838.40 : x
  2. Step 2: Convert to fraction form
    5,076.64/7,005.42 = 2,838.40/x
  3. Step 3: Cross multiply
    5,076.64x = 7,005.42 × 2,838.40
  4. Step 4: Simplify right side
    5,076.64x = 19,884,184.13
  5. Step 5: Solve for x
    x = 19,884,184.13/5,076.64
  6. Step 6: Final answer
    x = 3,916.80

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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.