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Finding the Fourth Proportional to 5,031.52, 7,547.14 and 1,333.64

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Solution

The fourth proportional to 5,031.52, 7,547.14 and 1,333.64 is: 2,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.52 : 7,547.14 = 1,333.64 : x
  2. Step 2: Convert to fraction form
    5,031.52/7,547.14 = 1,333.64/x
  3. Step 3: Cross multiply
    5,031.52x = 7,547.14 × 1,333.64
  4. Step 4: Simplify right side
    5,031.52x = 10,065,167.79
  5. Step 5: Solve for x
    x = 10,065,167.79/5,031.52
  6. Step 6: Final answer
    x = 2,000.42

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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.