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Finding the Fourth Proportional to 4,603.71, 6,905.55 and 1,140.96

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Solution

The fourth proportional to 4,603.71, 6,905.55 and 1,140.96 is: 1,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.71 : 6,905.55 = 1,140.96 : x
  2. Step 2: Convert to fraction form
    4,603.71/6,905.55 = 1,140.96/x
  3. Step 3: Cross multiply
    4,603.71x = 6,905.55 × 1,140.96
  4. Step 4: Simplify right side
    4,603.71x = 7,878,924.65
  5. Step 5: Solve for x
    x = 7,878,924.65/4,603.71
  6. Step 6: Final answer
    x = 1,711.43

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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.