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Finding the Fourth Proportional to 6,100.51, 9,148.95 and 2,590.47

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Solution

The fourth proportional to 6,100.51, 9,148.95 and 2,590.47 is: 3,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.51 : 9,148.95 = 2,590.47 : x
  2. Step 2: Convert to fraction form
    6,100.51/9,148.95 = 2,590.47/x
  3. Step 3: Cross multiply
    6,100.51x = 9,148.95 × 2,590.47
  4. Step 4: Simplify right side
    6,100.51x = 23,700,080.51
  5. Step 5: Solve for x
    x = 23,700,080.51/6,100.51
  6. Step 6: Final answer
    x = 3,884.93

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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.