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Finding the Fourth Proportional to 5,098.59, 7,646.27 and 3,465.63

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Solution

The fourth proportional to 5,098.59, 7,646.27 and 3,465.63 is: 5,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.59 : 7,646.27 = 3,465.63 : x
  2. Step 2: Convert to fraction form
    5,098.59/7,646.27 = 3,465.63/x
  3. Step 3: Cross multiply
    5,098.59x = 7,646.27 × 3,465.63
  4. Step 4: Simplify right side
    5,098.59x = 26,499,161.82
  5. Step 5: Solve for x
    x = 26,499,161.82/5,098.59
  6. Step 6: Final answer
    x = 5,197.35

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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.