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Finding the Fourth Proportional to 4,253.64, 6,386.40 and 2,802.12

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Solution

The fourth proportional to 4,253.64, 6,386.40 and 2,802.12 is: 4,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.64 : 6,386.40 = 2,802.12 : x
  2. Step 2: Convert to fraction form
    4,253.64/6,386.40 = 2,802.12/x
  3. Step 3: Cross multiply
    4,253.64x = 6,386.40 × 2,802.12
  4. Step 4: Simplify right side
    4,253.64x = 17,895,459.17
  5. Step 5: Solve for x
    x = 17,895,459.17/4,253.64
  6. Step 6: Final answer
    x = 4,207.09

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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.