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Finding the Fourth Proportional to 4,700.39, 7,051.03 and 1,580.42

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Solution

The fourth proportional to 4,700.39, 7,051.03 and 1,580.42 is: 2,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.39 : 7,051.03 = 1,580.42 : x
  2. Step 2: Convert to fraction form
    4,700.39/7,051.03 = 1,580.42/x
  3. Step 3: Cross multiply
    4,700.39x = 7,051.03 × 1,580.42
  4. Step 4: Simplify right side
    4,700.39x = 11,143,602.51
  5. Step 5: Solve for x
    x = 11,143,602.51/4,700.39
  6. Step 6: Final answer
    x = 2,370.79

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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.