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Finding the Fourth Proportional to 3,160.78, 4,713.53 and 3,086.26

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Solution

The fourth proportional to 3,160.78, 4,713.53 and 3,086.26 is: 4,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.78 : 4,713.53 = 3,086.26 : x
  2. Step 2: Convert to fraction form
    3,160.78/4,713.53 = 3,086.26/x
  3. Step 3: Cross multiply
    3,160.78x = 4,713.53 × 3,086.26
  4. Step 4: Simplify right side
    3,160.78x = 14,547,179.10
  5. Step 5: Solve for x
    x = 14,547,179.10/3,160.78
  6. Step 6: Final answer
    x = 4,602.40

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