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Finding the Fourth Proportional to 5,094.47, 7,031.04 and 3,077.98

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Solution

The fourth proportional to 5,094.47, 7,031.04 and 3,077.98 is: 4,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.47 : 7,031.04 = 3,077.98 : x
  2. Step 2: Convert to fraction form
    5,094.47/7,031.04 = 3,077.98/x
  3. Step 3: Cross multiply
    5,094.47x = 7,031.04 × 3,077.98
  4. Step 4: Simplify right side
    5,094.47x = 21,641,400.50
  5. Step 5: Solve for x
    x = 21,641,400.50/5,094.47
  6. Step 6: Final answer
    x = 4,248.02

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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.