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Finding the Fourth Proportional to 4,076, 6,095.31 and 3,036.71

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Solution

The fourth proportional to 4,076, 6,095.31 and 3,036.71 is: 4,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076 : 6,095.31 = 3,036.71 : x
  2. Step 2: Convert to fraction form
    4,076/6,095.31 = 3,036.71/x
  3. Step 3: Cross multiply
    4,076x = 6,095.31 × 3,036.71
  4. Step 4: Simplify right side
    4,076x = 18,509,688.83
  5. Step 5: Solve for x
    x = 18,509,688.83/4,076
  6. Step 6: Final answer
    x = 4,541.14

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Why These Related Problems?

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