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Finding the Fourth Proportional to 4,898.57, 7,384.56 and 4,572.70

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Solution

The fourth proportional to 4,898.57, 7,384.56 and 4,572.70 is: 6,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.57 : 7,384.56 = 4,572.70 : x
  2. Step 2: Convert to fraction form
    4,898.57/7,384.56 = 4,572.70/x
  3. Step 3: Cross multiply
    4,898.57x = 7,384.56 × 4,572.70
  4. Step 4: Simplify right side
    4,898.57x = 33,767,377.51
  5. Step 5: Solve for x
    x = 33,767,377.51/4,898.57
  6. Step 6: Final answer
    x = 6,893.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.