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Finding the Fourth Proportional to 4,051.01, 6,074 and 1,582.93

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Solution

The fourth proportional to 4,051.01, 6,074 and 1,582.93 is: 2,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.01 : 6,074 = 1,582.93 : x
  2. Step 2: Convert to fraction form
    4,051.01/6,074 = 1,582.93/x
  3. Step 3: Cross multiply
    4,051.01x = 6,074 × 1,582.93
  4. Step 4: Simplify right side
    4,051.01x = 9,614,716.82
  5. Step 5: Solve for x
    x = 9,614,716.82/4,051.01
  6. Step 6: Final answer
    x = 2,373.41

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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.