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Finding the Fourth Proportional to 4,802.14, 6,619.08 and 4,714.66

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Solution

The fourth proportional to 4,802.14, 6,619.08 and 4,714.66 is: 6,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.14 : 6,619.08 = 4,714.66 : x
  2. Step 2: Convert to fraction form
    4,802.14/6,619.08 = 4,714.66/x
  3. Step 3: Cross multiply
    4,802.14x = 6,619.08 × 4,714.66
  4. Step 4: Simplify right side
    4,802.14x = 31,206,711.71
  5. Step 5: Solve for x
    x = 31,206,711.71/4,802.14
  6. Step 6: Final answer
    x = 6,498.50

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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.