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Finding the Fourth Proportional to 5,242.04, 7,894.28 and 4,727.96

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Solution

The fourth proportional to 5,242.04, 7,894.28 and 4,727.96 is: 7,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.04 : 7,894.28 = 4,727.96 : x
  2. Step 2: Convert to fraction form
    5,242.04/7,894.28 = 4,727.96/x
  3. Step 3: Cross multiply
    5,242.04x = 7,894.28 × 4,727.96
  4. Step 4: Simplify right side
    5,242.04x = 37,323,840.07
  5. Step 5: Solve for x
    x = 37,323,840.07/5,242.04
  6. Step 6: Final answer
    x = 7,120.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.