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Finding the Fourth Proportional to 4,532.06, 6,802.68 and 3,140.60

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Solution

The fourth proportional to 4,532.06, 6,802.68 and 3,140.60 is: 4,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.06 : 6,802.68 = 3,140.60 : x
  2. Step 2: Convert to fraction form
    4,532.06/6,802.68 = 3,140.60/x
  3. Step 3: Cross multiply
    4,532.06x = 6,802.68 × 3,140.60
  4. Step 4: Simplify right side
    4,532.06x = 21,364,496.81
  5. Step 5: Solve for x
    x = 21,364,496.81/4,532.06
  6. Step 6: Final answer
    x = 4,714.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.