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Finding the Fourth Proportional to 6,301.49, 8,695.54 and 3,649.06

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Solution

The fourth proportional to 6,301.49, 8,695.54 and 3,649.06 is: 5,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.49 : 8,695.54 = 3,649.06 : x
  2. Step 2: Convert to fraction form
    6,301.49/8,695.54 = 3,649.06/x
  3. Step 3: Cross multiply
    6,301.49x = 8,695.54 × 3,649.06
  4. Step 4: Simplify right side
    6,301.49x = 31,730,547.19
  5. Step 5: Solve for x
    x = 31,730,547.19/6,301.49
  6. Step 6: Final answer
    x = 5,035.40

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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.