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Finding the Fourth Proportional to 4,688.98, 7,031.10 and 1,567.90

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Solution

The fourth proportional to 4,688.98, 7,031.10 and 1,567.90 is: 2,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.98 : 7,031.10 = 1,567.90 : x
  2. Step 2: Convert to fraction form
    4,688.98/7,031.10 = 1,567.90/x
  3. Step 3: Cross multiply
    4,688.98x = 7,031.10 × 1,567.90
  4. Step 4: Simplify right side
    4,688.98x = 11,024,061.69
  5. Step 5: Solve for x
    x = 11,024,061.69/4,688.98
  6. Step 6: Final answer
    x = 2,351.06

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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.