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Finding the Fourth Proportional to 5,034, 6,937.20 and 3,848.16

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Solution

The fourth proportional to 5,034, 6,937.20 and 3,848.16 is: 5,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034 : 6,937.20 = 3,848.16 : x
  2. Step 2: Convert to fraction form
    5,034/6,937.20 = 3,848.16/x
  3. Step 3: Cross multiply
    5,034x = 6,937.20 × 3,848.16
  4. Step 4: Simplify right side
    5,034x = 26,695,455.55
  5. Step 5: Solve for x
    x = 26,695,455.55/5,034
  6. Step 6: Final answer
    x = 5,303.03

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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.