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Finding the Fourth Proportional to 4,689.42, 7,031.16 and 2,930.10

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Solution

The fourth proportional to 4,689.42, 7,031.16 and 2,930.10 is: 4,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.42 : 7,031.16 = 2,930.10 : x
  2. Step 2: Convert to fraction form
    4,689.42/7,031.16 = 2,930.10/x
  3. Step 3: Cross multiply
    4,689.42x = 7,031.16 × 2,930.10
  4. Step 4: Simplify right side
    4,689.42x = 20,602,001.92
  5. Step 5: Solve for x
    x = 20,602,001.92/4,689.42
  6. Step 6: Final answer
    x = 4,393.29

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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.