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Finding the Fourth Proportional to 6,094.48, 8,407.08 and 3,852.16

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Solution

The fourth proportional to 6,094.48, 8,407.08 and 3,852.16 is: 5,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.48 : 8,407.08 = 3,852.16 : x
  2. Step 2: Convert to fraction form
    6,094.48/8,407.08 = 3,852.16/x
  3. Step 3: Cross multiply
    6,094.48x = 8,407.08 × 3,852.16
  4. Step 4: Simplify right side
    6,094.48x = 32,385,417.29
  5. Step 5: Solve for x
    x = 32,385,417.29/6,094.48
  6. Step 6: Final answer
    x = 5,313.89

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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.