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Finding the Fourth Proportional to 4,710.39, 6,499.01 and 3,032.77

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Solution

The fourth proportional to 4,710.39, 6,499.01 and 3,032.77 is: 4,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.39 : 6,499.01 = 3,032.77 : x
  2. Step 2: Convert to fraction form
    4,710.39/6,499.01 = 3,032.77/x
  3. Step 3: Cross multiply
    4,710.39x = 6,499.01 × 3,032.77
  4. Step 4: Simplify right side
    4,710.39x = 19,709,998.77
  5. Step 5: Solve for x
    x = 19,709,998.77/4,710.39
  6. Step 6: Final answer
    x = 4,184.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.