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Finding the Fourth Proportional to 4,703.65, 6,488.17 and 3,110.32

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Solution

The fourth proportional to 4,703.65, 6,488.17 and 3,110.32 is: 4,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.65 : 6,488.17 = 3,110.32 : x
  2. Step 2: Convert to fraction form
    4,703.65/6,488.17 = 3,110.32/x
  3. Step 3: Cross multiply
    4,703.65x = 6,488.17 × 3,110.32
  4. Step 4: Simplify right side
    4,703.65x = 20,180,284.91
  5. Step 5: Solve for x
    x = 20,180,284.91/4,703.65
  6. Step 6: Final answer
    x = 4,290.35

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