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Finding the Fourth Proportional to 5,402.02, 7,448.07 and 4,507.06

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Solution

The fourth proportional to 5,402.02, 7,448.07 and 4,507.06 is: 6,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.02 : 7,448.07 = 4,507.06 : x
  2. Step 2: Convert to fraction form
    5,402.02/7,448.07 = 4,507.06/x
  3. Step 3: Cross multiply
    5,402.02x = 7,448.07 × 4,507.06
  4. Step 4: Simplify right side
    5,402.02x = 33,568,875.84
  5. Step 5: Solve for x
    x = 33,568,875.84/5,402.02
  6. Step 6: Final answer
    x = 6,214.13

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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.