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Finding the Fourth Proportional to 5,052.96, 7,580.64 and 1,590.21

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Solution

The fourth proportional to 5,052.96, 7,580.64 and 1,590.21 is: 2,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.96 : 7,580.64 = 1,590.21 : x
  2. Step 2: Convert to fraction form
    5,052.96/7,580.64 = 1,590.21/x
  3. Step 3: Cross multiply
    5,052.96x = 7,580.64 × 1,590.21
  4. Step 4: Simplify right side
    5,052.96x = 12,054,809.53
  5. Step 5: Solve for x
    x = 12,054,809.53/5,052.96
  6. Step 6: Final answer
    x = 2,385.69

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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.