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Finding the Fourth Proportional to 4,539.83, 6,810.14 and 1,252.93

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Solution

The fourth proportional to 4,539.83, 6,810.14 and 1,252.93 is: 1,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.83 : 6,810.14 = 1,252.93 : x
  2. Step 2: Convert to fraction form
    4,539.83/6,810.14 = 1,252.93/x
  3. Step 3: Cross multiply
    4,539.83x = 6,810.14 × 1,252.93
  4. Step 4: Simplify right side
    4,539.83x = 8,532,603.52
  5. Step 5: Solve for x
    x = 8,532,603.52/4,539.83
  6. Step 6: Final answer
    x = 1,879.50

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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.