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Finding the Fourth Proportional to 3,031.22, 4,547.10 and 839.94

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Solution

The fourth proportional to 3,031.22, 4,547.10 and 839.94 is: 1,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.22 : 4,547.10 = 839.94 : x
  2. Step 2: Convert to fraction form
    3,031.22/4,547.10 = 839.94/x
  3. Step 3: Cross multiply
    3,031.22x = 4,547.10 × 839.94
  4. Step 4: Simplify right side
    3,031.22x = 3,819,291.17
  5. Step 5: Solve for x
    x = 3,819,291.17/3,031.22
  6. Step 6: Final answer
    x = 1,259.98

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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.