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Finding the Fourth Proportional to 5,006.54, 7,509.87 and 4,702.11

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Solution

The fourth proportional to 5,006.54, 7,509.87 and 4,702.11 is: 7,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.54 : 7,509.87 = 4,702.11 : x
  2. Step 2: Convert to fraction form
    5,006.54/7,509.87 = 4,702.11/x
  3. Step 3: Cross multiply
    5,006.54x = 7,509.87 × 4,702.11
  4. Step 4: Simplify right side
    5,006.54x = 35,312,234.83
  5. Step 5: Solve for x
    x = 35,312,234.83/5,006.54
  6. Step 6: Final answer
    x = 7,053.22

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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.