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Finding the Fourth Proportional to 5,681.30, 8,534.38 and 4,048.34

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Solution

The fourth proportional to 5,681.30, 8,534.38 and 4,048.34 is: 6,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.30 : 8,534.38 = 4,048.34 : x
  2. Step 2: Convert to fraction form
    5,681.30/8,534.38 = 4,048.34/x
  3. Step 3: Cross multiply
    5,681.30x = 8,534.38 × 4,048.34
  4. Step 4: Simplify right side
    5,681.30x = 34,550,071.93
  5. Step 5: Solve for x
    x = 34,550,071.93/5,681.30
  6. Step 6: Final answer
    x = 6,081.37

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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.